427 results on '"Zalar, P."'
Search Results
2. The truncated moment problem on reducible cubic curves I: Parabolic and Circular type relations
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Yoo, Seonguk and Zalar, Aljaž
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Mathematics - Functional Analysis ,Primary 44A60, 47A57, 47A20, Secondary 15A04, 47N40 - Abstract
In this article we study the bivariate truncated moment problem (TMP) of degree $2k$ on reducible cubic curves. First we show that every such TMP is equivalent after applying an affine linear transformation to one of 8 canonical forms of the curve. The case of the union of three parallel lines was solved in 2022 by the second author, while the degree 6 cases in 2017 by the first author. Second we characterize in terms of concrete numerical conditions the existence of the solution to the TMP on two of the remaining cases concretely, i.e., a union of a line and a circle $y(ay+x^2+y^2)=0, a\in \mathbb{R}\setminus \{0\}$, and a union of a line and a parabola $y(x-y^2)=0$. In both cases we also determine the number of atoms in a minimal representing measure., Comment: 45 pages
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- 2024
3. Cross-positive linear maps, positive polynomials and sums of squares
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Klep, Igor, Šivic, Klemen, and Zalar, Aljaž
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Mathematics - Functional Analysis ,13J30, 15B48, 46L07, 47D06, 52A40 (Primary), 47L25, 90C22 (Secondary) - Abstract
A linear map $\Phi$ between matrix spaces is called cross-positive if it is positive on orthogonal pairs $(U,V)$ of positive semidefinite matrices in the sense that $\langle U,V\rangle:=\text{Tr}(UV)=0$ implies $\langle \Phi(U),V\rangle\geq0$, and is completely cross-positive if all its ampliations $I_n\otimes \Phi$ are cross-positive. (Completely) cross-positive maps arise in the theory of operator semigroups, where they are sometimes called exponentially-positive maps, and are also important in the theory of affine processes on symmetric cones in mathematical finance. To each $\Phi$ as above a bihomogeneous form is associated by $p_\Phi(x,y)=y^T\Phi(xx^T)y$. Then $\Phi$ is cross-positive if and only if $p_\Phi$ is nonnegative on the variety of pairs of orthogonal vectors $\{(x,y)\mid x^Ty=0\}$. Moreover, $\Phi$ is shown to be completely cross-positive if and only if $p_\Phi$ is a sum of squares modulo the principal ideal $(x^Ty)$. These observations bring the study of cross-positive maps into the powerful setting of real algebraic geometry. Here this interplay is exploited to prove quantitative bounds on the fraction of cross-positive maps that are completely cross-positive. Detailed results about cross-positive maps $\Phi$ mapping between $3\times 3$ matrices are given. Finally, an algorithm to produce cross-positive maps that are not completely cross-positive is presented., Comment: 42 pages
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- 2024
4. A random copositive matrix is completely positive with positive probability
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Klep, Igor, Štrekelj, Tea, and Zalar, Aljaž
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Mathematics - Functional Analysis ,Mathematics - Optimization and Control ,Quantum Physics ,13J30, 47L07, 52A40 (Primary), 90C22, 90C27 (Secondary) - Abstract
An $n\times n$ symmetric matrix $A$ is copositive if the quadratic form $x^TAx$ is nonnegative on the nonnegative orthant. The cone of copositive matrices strictly contains the cone of completely positive matrices, i.e., all matrices of the form $BB^T$ for some (possibly rectangular) matrix $B$ with nonnegative entries. The main result, proved using Blekherman's real algebraic geometry inspired techniques and tools of convex geometry, shows that asymptotically, as $n$ goes to infinity, the ratio of volume radii of the two cones is strictly positive. Consequently, the same holds true for the ratio of volume radii of any two cones sandwiched between them, e.g., the cones of positive semidefinite matrices, matrices with nonnegative entries, their intersection and their Minkowski sum., Comment: 27 pages. A major rewrite with the addition of applications and detailed discussions on size comparison of cones. The part with the construction of examples will appear in a separate paper
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- 2023
5. The truncated moment problem on curves $y=q(x)$ and $yx^\ell=1$
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Zalar, Aljaž
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Mathematics - Functional Analysis ,Primary 44A60, 47A57, 47A20, Secondary 15A04, 47N40 - Abstract
In this paper we study the bivariate truncated moment problem (TMP) on curves of the form $y=q(x)$, $q(x)\in \mathbb{R}[x]$, $\text{deg } q\geq 3$, and $yx^\ell=1$, $\ell\in \mathbb{N}\setminus\{1\}$. For even degree sequences the solution based on the number of moment matrix extensions was first given by Fialkow using the truncated Riesz-Haviland theorem and a sum-of-squares representations for polynomials, strictly positive on such curves. Namely, the upper bound on this number is quadratic in the degrees of the sequence and the polynomial determining a curve. We use a reduction to the univariate setting technique and improve Fialkow's bound to $\text{deg }q-1$ (resp. $\ell+1$) for curves $y=q(x)$ (resp. $yx^\ell=1$). This in turn gives analogous improvements of the degrees in the sum-of-squares representations referred to above. Moreover, we get the upper bounds on the number of atoms in the minimal representing measure, which are $k\;\text{deg }q$ (resp. $k(\ell+1)$) for curves $y=q(x)$ (resp. $yx^\ell=1$) for even degree sequences, while for odd ones they are $k\;\text{deg }q-\big\lceil\frac{\text{deg }q}{2} \big\rceil$ (resp. $k(\ell+1)-\big\lfloor\frac{\ell}{2} \big\rfloor+1$) for curves $y=q(x)$ (resp. $yx^\ell=1$). In the even case these are counterparts to the result by Riener and Schweighofer, which gives the same bound for odd degree sequences on all plane curves, while in the odd case it is a slight improvement of their bound in these special cases. Further on, we give another solution to the TMP on the curves studied based on the feasibility of a linear matrix inequality, corresponding to the univariate sequence obtained, and finally we solve concretely odd degree cases of the TMP on curves $y=x^\ell$, $\ell=2,3$, and add a new solvability condition to the even degree case on the curve $y=x^2$., Comment: 40 pages; To appear in Linear and Multilinear Algebra
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- 2022
6. Isolation and characterization of highly active keratinolytic microorganisms with promising potential for waste sheep wool processing
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Petek, Blaž, Vodušek, Maja, Accetto, Tomaž, Zorec, Maša, Zalar, Polona, Oberčkal, Jernej, and Marinšek Logar, Romana
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- 2024
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7. Incidence, prevalence and clinical presentation of inflammatory bowel diseases in Northern France: a 30-year population-based studyResearch in context
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Hélène Sarter, Thibaut Crétin, Guillaume Savoye, Mathurin Fumery, Ariane Leroyer, Luc Dauchet, Thierry Paupard, Hugues Coevoet, Pauline Wils, Nicolas Richard, Dominique Turck, Delphine Ley, Corinne Gower-Rousseau, Eric Agoute, Najib Al Ghossaini, Raied Al Hameedi, Myriam Al Khatib, Saria Al Turk, Jean-Marie Andre, Matthieu Antoine, Michel Antonietti, Amar Aouakli, Laura Armengol-Debeir, Ibrahim Aroichane, Fadi Assi, Eric Auxenfants, Alina Avram, Kassem Azzouzi, Damyan Bankovski, Bernard Barbry, Nicolas Bardoux, Philippe Baron, Anne Baudet, Pauline Bayart, Brice Bazin, Arash Bebahani, Jean-Pierre Becqwort, Houssem Ben Ali, Emmanuel Ben Soussan, Coralie Benard, Vincent Benet, Corinne Benguigui, Abdeslam Bental, Sara Bentaleb-Bellati, Isabelle Berkelmans, Jacques Bernet, Karine Bernou, Nathalie Bertiaux-Vandaele, Pauline Bertot, Valérie Bertrand, Emilie Biloud, Nathalie Biron, Benjamin Bismuth, Cyril Blanchard, Maurice Bleuez, Fabienne Blondel, Valérie Blondin, Marius Bobula, Philippe Bohont, Eléonore Boivin, Vanessa Bon Djemah, Eric Boniface, Philippe Bonniere, Pierre Bonvarlet, Arnaud Boruchowicz, Raoul Bostvironnois, Médina Boualit, Ahlem Bouazza, Bruno Bouche, Christian Boudailler, Claude Bourgeaux, Morgane Bourgeois-Fumery, Arnaud Bourguet, Agnès Bourienne, Hamza Boutaleb, Alexis Bouthors, Julien Branche, Franck Brazier, Marie Bridenne, Hélène Brihier, Laura Bril, Philippe Bulois, Pierre Burgiere, Joël Butel, Jean-Yves Canva, Valérie Canva-Delcambre, Florence Cardot, Sandrine Carette, Pierre Carpentier, Michel Cassagnou, Jean-François Cassar, François Castex, Pascale Catala, Stéphane Cattan, Sylviane Catteau, Bernard Caujolle, Gérard Cayron, Catherine Chandelier, Cloé Charpentier, Marthe Chavance-Thelu, Agathe Cheny, Dinu Chirita, Antoine Choteau, Jean-François Claerbout, Pierre-Yves Clergue, Gil Cohen, Marie Colin, Régis Collet, Jean-Frédéric Colombel, Stéphanie Coopman, Lucie Cordiez, Antoine Cortot, Jean Corvisart, Frédéric Couttenier, Jean-François Crinquette, Valérie Crombe, Abdelhakim Daoudi, Vincent Dapvril, Thierry Davion, Sébastien Decoster, Laurent Defontaine, Nicolas Degrave, Aurélien Dejaeger, Richard Delcenserie, Marine Deleplanque, Dorothée Delesalle, Olivier Delette, Thierry Delgrange, Laurence Delhoustal, Jean-Stéphane Delmotte, Sabri Demmane, Guy Deregnaucourt, Constance Deschepper, Jean-Pierre Desechalliers, Patrick Desmet, Pierre Desreumaux, Gérard Desseaux, Philippe Desurmont, Alain Devienne, Eve Devouge, Alex Devroux, Arnaud Dewailly, Sébastien Dharancy, Aude Di Fiore, Emmanuel Diaz, Djamal-Dine Djeddi, Rachid Djedir, Wissam Doleh, Marie-Laure Dreher-Duwat, Richard Dubois, Clothilde Duburque, Frédéric Ducrot, Philippe Ducrotte, André Dufilho, Christian Duhamel, Caroline Dumant-Forest, Jean-Louis Dupas, Frédéric Dupont, Yves Duranton, Arnaud Duriez, Nicolas Duveau, Mohammadi El Farisi, Khalil El Hachkar, Caroline Elie, Marie-Claire Elie-Legrand, Matthieu Eoche, Essmaeel Essmaeel, Dominique Evrard, Jean-Paul Evrard, Armelle Fatome, Karima Fellah-Sekkai, Bernard Filoche, Laurent Finet, Mathilde Flahaut, Camille Flamme, David Foissey, Peggy Fournier, Philippe Foutrein, Marie-Christine Foutrein-Comes, Thierry Frere, Julie Galand, Philippe Gallais, Claudine Gamblin, Serge Ganga, Romain Gerard, Guillaume Geslin, Yves Gheyssens, Salah Ghrib, Thierry Gilbert, Bénédicte Gillet, Denis Godart, Jean-Michel Godchaux, Guetty Goeguebeur, Odile Goria, Frédéric Gottrand, Philippe Gower, Lucien Grados, Brigitte Grandmaison, Marion Groux, Claire Guedon, Loïc Guerbeau, Mathilde Gueroult-Dero, Jean-François Guillard, Laurence Guillem, François Guillemot, Dominique Guimber, Baya Haddouche, Vincent Hautefeuille, Philippe Hecketsweiller, Geneviève Hecquet, Jean-Pierre Hedde, Hassina Hellal, Pierre-Emmanuel Henneresse, Michel Heraud, Sophie Herve, Bruno Heyman, Patrick Hochain, Philippe Houcke, Lucie Houssin-Baillly, Bruno Huguenin, Silviu Iobagiu, Shata Istanboli, Alexsandar Ivanovic, Isabelle Iwanicki-Caron, Eric Janicki, Marine Jarry, Charlotte Jean Bart, Claude Jonas, Julia Jougon, Anne Jouvenet, Naeim Kassar, Fadi Katherin, Alfred Kerleveo, Ali Khachfe, Alfred Kiriakos, Jean Kiriakos, Olivier Klein, Matthieu Kohut, Richard Kornhauser, Demetrios Koutsomanis, Jean-Eric Laberenne, Eric Lacotte, Guy Laffineur, Marine Lagarde, Anouck Lahaye, Arnaud Lalanne, Ambroise Lalieu, Pierre Lannoy, José Lapchin, Michel Laprand, Denis Laude, Christian Le Couteulx, Charles Le Goffic, Alain Le Grix, Jean-Philippe Le Mouel, Pauline Le Roy, Rachida Leblanc, Paul Lecieux, Stéphane Lecleire, Nathalie Leclerc, Jean Ledent, Jean Lefebvre, Pascale Lefilliatre, Céline Legrand, Patrick Lelong, Bernard Leluyer, Caroline Lemaitre, Lucie Lepileur, Antoine Leplat, Elodie Lepoutre-Dujardin, Gabriel Leppeut, Henri Leroi, Maryvonne Leroy, Benoît Lesage, Jocelyn Lesage, Xavier Lesage, Isabelle Lescanne-Darchis, Dominique Lescut, Bruno Leurent, Michel Lhermie, Louise Libier, Bernard Lisambert, Isabelle Loge, Julien Loreau, Alexandre Louvet, Joséphine Lozinguez, Henri Lubrez, Damien Lucidarme, Jean-Jacques Lugand, Olivier Macaigne, Denis Maetz, Dominique Maillard, Hubert Mancheron, Olivia Manolache, Anne-Bérengère Marks-Brunel, Charline Marre, Raymond Marti, Eric Marzloff, Philippe Mathurin, Jacques Mauillon, Vincent Maunoury, Jean-Luc Maupas, Michèle-Ange Medam Djomo, Chloé Melchior, Ziad Melki, B. Mesnard, Patrice Metayer, Lofti Methari, Franck Meurisse, Laurent Michaud, Patricia Modaine, Angélique Monthe, Loïk Morel, Mathilde Morin, Pierre-Eugène Mortier, Perrine Mortreux, Olivier Mouterde, Nicolas Mozziconaci, Jean Mudry, Maria Nachuri, Minh Dung Ngo, Eric N'guyen Khac, Bertrand Notteghem, Vincent Ollevier, Atika Ouraghi, Barriza Oussadou, Dominique Ouvry, Bernard Paillot, Claire Painchart, Nicole Panien-Claudot, Christian Paoletti, Arsène Papazian, Bruno Parent, Jean-Claude Paris, Philippe Patrier, Bernard Pauwels, Mathieu Pauwels, Richard Petit, Muriel Piat, Sandrine Piotte, Christophe Plane, Bernard Plouvier, Eric Pollet, Pierre Pommelet, Daniela Pop, Charlotte Pordes, Gérard Pouchain, Philippe Prades, Jean-Christophe Prevost, Manon Pruit, Gilles Quartier, Anne-Marie Queuniet, Jean-François Quinton, Alain Rabache, Gilles Raclot, Sébastien Ratajczyk, Nicole Reix, Thibaud Renaut-Vantroys, Marine Revillion, Ghassan Riachi, Clémentine Riault, Cécile Richez, Benoît Rimbert, Philippe Robinson, Juan Daniel Rodriguez, Jean Roger, Jean-Marc Roux, Alain Rudelli, Clémence Saingier, Patrick Schlossberg, David Sefrioui, Michel Segrestin, David Seguy, Célik Seminur, François Sevenet, Jean Silvie, Claire Spyckerelle, Nathalie Talbodec, Noémie Tavernier, Henriette Tchandeu, Aurore Techy, Jean-Luc Thelu, Henri Thiebault, Jean-Marie Thorel, Christophe Thuillier, Guillaume Tielman, Manuella Tode, Jean Tonnel, Jean-Yves Touchais, Audrey Toulemonde-Huguet, Pierre Toumelin, Yvan Touze, Léa Tran, Jean-Luc Tranvouez, Nadia Triki, Justine Turpin, Eric Vaillant, Claude Valmage, Dominique Vanco, Nathalie Vandaele-Bertiaux, Hélène Vandamme, Elise Vander Eeken, Etienne Vanderbercq, Philippe Vandermollen, Philippe Vandevenne, Lionel Vandeville, Alain Vandewalle, Jean-Pierre Vanhoove, Audrey Vanrenterghem, Charlotte Vanveuren, Iona Vasies, Guy Verbiese, Juliette Verlynde, Philippe Vermelle, Christine Verne, Gwenola Vernier-Massouille, Perrine Vezelier-Cocq, Juliette Viart, Benoît Vigneron, Marc Vincendet, Jacques Viot, Y.M. Voiment, Jean-Yves Wallez, Michel Wantier, Faustine Wartel, Jean-Christian Weber, Jean-Louis Willocquet, Nathalie Wizla, Eric Wolschies, Tajiogue Yimfor, Oana Zahara, Alberto Zalar, Sonia Zaoui, and Anne Zellweger
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Inflammatory bowel disease ,Incidence ,Prevalence ,Population-based registry ,Crohn’s disease ,Ulcerative colitis ,Public aspects of medicine ,RA1-1270 - Abstract
Summary: Background: In industrialized countries, the incidence of inflammatory bowel disease (IBD) appears stabilized. This study examined the incidence and phenotype of IBD in Northern France over a 30-year period. Methods: Including all IBD patients recorded in the EPIMAD population-based registry from 1988 to 2017 in Northern France, we described the incidence and clinical presentation of IBD according to age, sex and time. Findings: A total of 22,879 incident IBD cases were documented (59% (n = 13,445) of Crohn’s disease (CD), 38% (n = 8803) of ulcerative colitis (UC), 3% (n = 631) of IBD unclassified (IBDU)). Over the study period, incidence of IBD, CD and UC was 12.7, 7.2 and 5.1 per 105 person-years, respectively. The incidence of CD increased from 5.1/105 in 1988–1990 to 7.9/105 in 2015–2017 (annual percent change (APC): +1.9%, p
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- 2024
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8. Polymer-dispersed liquid crystal elastomers as moldable shape-programmable material
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Bobnar, Matej, Derets, Nikita, Umerova, Saide, Domenici, Valentina, Novak, Nikola, Lavrič, Marta, Cordoyiannis, George, Zalar, Boštjan, and Rešetič, Andraž
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- 2023
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9. Interactions of Fungi and Algae from the Greenland Ice Sheet
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Perini, L., Gostinčar, C., Likar, M., Frisvad, J. C., Kostanjšek, R., Nicholes, M., Williamson, C., Anesio, A. M., Zalar, P., and Gunde-Cimerman, N.
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- 2023
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10. The truncated moment problem on the union of parallel lines
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Zalar, Aljaž
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Mathematics - Functional Analysis ,Primary 44A60, 47A57, 47A20, Secondary 15A04, 47N40 - Abstract
In this article we study the bivariate truncated moment problem (TMP) of degree $2k$ on the union of parallel lines. First we present an alternative proof of Fialkow's solution \cite{Fia15} to the TMP on the union of two parallel lines (TMP--2pl) using the solution of the truncated Hamburger moment problem (THMP). We add a new equivalent solvability condition, which is then used together with the THMP, to solve the TMP on the union of three parallel lines (TMP--3pl), our second main result of the article. Finally, we establish a sufficient condition for the existence of a solution to the TMP on the union of $n$ parallel lines in the pure case, i.e.\ when the moment matrix $M_k$ is of the highest possible rank, or equivalently the only column relations come from the union of $n$ lines. The condition is based on the feasibility of a certain linear matrix inequality, corresponding to the extension of $M_k$ by adding rows and columns indexed by some monomials of degree $k+1$. The proof is by induction on $n$, where $n\geq 2$ and for the base of induction $n=2$ we use the solution of the TMP--2pl., Comment: 44 pages; To appear in Linear Algebra and Its Applications
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- 2021
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11. The strong truncated Hamburger moment problem with and without gaps
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Zalar, Aljaž
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Mathematics - Functional Analysis ,Primary 47A57, 47A20, 44A60, Secondary 15A04, 47N40 - Abstract
The strong truncated Hamburger moment problem (STHMP) of degree $(-2k_1,2k_2)$ asks to find necessary and sufficient conditions for the existence of a positive Borel measure, supported on $\mathbb{R}\setminus \{0\}$, such that $\beta_i=\int x^id\mu\; (-2k_1\leq i\leq 2k_2)$. Using the solution of the truncated Hamburger moment problem and the properties of Hankel matrices we solve the STHMP. Then, using the equivalence with the STHMP of degree $(-2k,2k)$, we obtain the solution of the 2-dimensional truncated moment problem (TMP) of degree $2k$ with variety $xy=1$, first solved by Curto and Fialkow. Our addition to their result is the fact previously known only for $k=2$, that the existence of a measure is equivalent to the existence of a flat extension of the moment matrix. Further on, we solve the STHMP of degree $(-2k_1,2k_2)$ with one missing moment in the sequence, i.e., $\beta_{-2k_1+1}$ or $\beta_{2k_2-1}$, which also gives the solution of the TMP with variety $x^2y=1$ as a special case, first studied by Fialkow., Comment: 20 pages. arXiv admin note: text overlap with arXiv:2007.11846
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- 2021
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12. Microbial Diversity of Biodeteriorated Limestone Cultural Heritage Assets Identified Using Molecular Approaches—A Literature Review
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Hana Suchy, Polona Zalar, and Maria Filomena Macedo
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limestone monuments ,limestone buildings ,algae ,archaea ,bacteria ,cyanobacteria ,Technology ,Engineering (General). Civil engineering (General) ,TA1-2040 ,Biology (General) ,QH301-705.5 ,Physics ,QC1-999 ,Chemistry ,QD1-999 - Abstract
A significant part of our stone heritage is made of limestone. Researchers are increasingly concerned about the risk of biodeterioration of these important objects. In this article, we present an up-to-date review of the microbial diversity of biodeteriorated limestone cultural heritage (CHL). This is based on an extensive bibliographic search of the literature investigating biodiversity using culture-dependent (CD) and culture-independent (CI) techniques. In the case of the former, only articles in which microorganisms were identified using molecular tools that generate DNA sequences were selected, with the aim of providing traceable identification based on the sequences submitted to public databases. The literature search resulted in the selection of 50 articles published between 2004 and 2023. The biodiversity data obtained from the CHL were organized into the following groups: fungi (626 records), bacteria and cyanobacteria (786 and 103 records, respectively), algae (51 records), and archaea (27 records). Within each group, the microbial diversity studied was compared according to results obtained using CD and CI techniques. Of all the articles selected, 12 used both approaches, demonstrating the growing effort to discover the total microbiome of biodeteriorated cultural heritage assets.
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- 2024
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13. Tunability of the elastocaloric response in main-chain liquid crystalline elastomers
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Lavrič, M., Derets, N., Črešnar, D., Cresta, V., Domenici, V., Rešetič, A., Skačej, G., Sluban, M., Umek, P., Zalar, B., Kutnjak, Z., and Rožič, B.
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Condensed Matter - Soft Condensed Matter - Abstract
Materials exhibiting a large caloric effect could lead to the development of new generation of heat-management technologies that will have better energy efficiency and be potentially more environmentally friendly. The focus of caloric materials investigations has shifted recently from solid-state materials toward soft materials, such as liquid crystals and liquid crystalline elastomers. It has been shown recently that a large electrocaloric effect exceeding 7 K can be observed in smectic liquid crystals. Here, we report on a significant elastocaloric response observed by direct elastocaloric measurements in main-chain liquid crystal elastomers. It is demonstrated that the character of the nematic to paranematic/isotropic transition can be tuned from the supercritical regime towards the first-order regime, by decreasing the density of crosslinkers. In the latter case, the latent heat additionally enhances the elastocaloric response. Our results indicate that a significant elastocaloric response is present in main-chain liquid crystalline elastomers, driven by stress fields much smaller than in solid elastocaloric materials. Therefore, elastocaloric soft materials can potentially play a significant role as active cooling/heating elements in the development of new heat-management devices.
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- 2020
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14. The truncated Hamburger moment problems with gaps in the index set
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Zalar, Aljaž
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Mathematics - Functional Analysis ,Primary 47A57, 47A20, 44A60, Secondary 15A04, 47N40 - Abstract
In this article we solve four special cases of the truncated Hamburger moment problem (THMP) of degree $2k$ with one or two missing moments in the sequence. As corollaries we obtain, by using appropriate substitutions, the solutions to bivariate truncated moment problems of degree $2k$ for special curves. Namely, for the curves $y=x^3$ (first solved by Fialkow), $y^2=x^3$, $y=x^4$ where a certain moment of degree $2k+1$ is known and $y^3=x^4$ with a certain moment given. The main technique is the completion of the partial positive semidefinite matrix (ppsd) such that the conditions of Curto and Fialkow's solution of the THMP are satisfied. The main tools are the use of the properties of positive semidefinite Hankel matrices and a result on all completions of a ppsd matrix with one unknown entry, proved by the use of the Schur complements for $2\times 2$ and $3\times 3$ block matrices., Comment: 32 pages
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- 2020
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15. The Tracial Moment Problem on Quadratic Varieties
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Bhardwaj, Abhishek and Zalar, Aljaz
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Mathematics - Functional Analysis ,47A57, 15A45, 13J30 (Primary), 11E25, 44A60, 15-04 (Secondary) - Abstract
The truncated moment problem asks to characterize finite sequences of real numbers that are the moments of a positive Borel measure on Rn. Its tracial analog is obtained by integrating traces of symmetric matrices and is the main topic of this article. The solution of the bivariate quartic tracial moment problem with a nonsingular (7x7) moment matrix M(2) whose columns are indexed by words of degree 2 was established by Burgdorf and Klep, while in our previos work we completely solved all cases with M(2) of rank at most 5, split M(2) of rank 6 into four possible cases according to the column relation satisfied and solved two of them. Our first main result in this article is the solution for M(2) satisfying the third possible column relation, i.e., Y^2 = 1 + X^2. Namely, the existence of a representing measure is equivalent to the feasibility problem of certain linear matrix inequalities. The second main result is a thorough analysis of the atoms in the measure for M(2) satisfying Y^2 = 1, the most demanding column relation. We prove that size 3 atoms are not needed in the representing measure, a fact proved to be true in all other cases. The third main result extends the solution for M(2) of rank 5 to general M(n), n>1, with two quadratic column relations. The main technique is the reduction of the problem to the classical univariate truncated moment problem, an approach which applies also in the classical truncated moment problem. Finally, our last main result, which demonstrates this approach, is a simplification of the proof for the solution of the degenerate truncated hyperbolic moment problem first obtained by Curto and Fialkow., Comment: 25 pages, 2 appendices
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- 2020
16. Shed Light in the DaRk LineagES of the Fungal Tree of Life-STRES.
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Selbmann, Laura, Benkő, Zsigmond, Coleine, Claudia, de Hoog, Sybren, Donati, Claudio, Druzhinina, Irina, Emri, Tamás, Ettinger, Cassie L, Gladfelter, Amy S, Gorbushina, Anna A, Grigoriev, Igor V, Grube, Martin, Gunde-Cimerman, Nina, Karányi, Zsolt Ákos, Kocsis, Beatrix, Kubressoian, Tania, Miklós, Ida, Miskei, Márton, Muggia, Lucia, Northen, Trent, Novak-Babič, Monika, Pennacchio, Christa, Pfliegler, Walter P, Pòcsi, Istvàn, Prigione, Valeria, Riquelme, Meritxell, Segata, Nicola, Schumacher, Julia, Shelest, Ekaterina, Sterflinger, Katja, Tesei, Donatella, U'Ren, Jana M, Varese, Giovanna C, Vázquez-Campos, Xabier, Vicente, Vania A, Souza, Emanuel M, Zalar, Polona, Walker, Allison K, and Stajich, Jason E
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Dothideomycetes ,Eurotiomycetes ,adaptation ,black fungi ,extremophiles ,genomics ,metabolomics ,secondary metabolites ,stress conditions ,transcriptomics - Abstract
The polyphyletic group of black fungi within the Ascomycota (Arthoniomycetes, Dothideomycetes, and Eurotiomycetes) is ubiquitous in natural and anthropogenic habitats. Partly because of their dark, melanin-based pigmentation, black fungi are resistant to stresses including UV- and ionizing-radiation, heat and desiccation, toxic metals, and organic pollutants. Consequently, they are amongst the most stunning extremophiles and poly-extreme-tolerant organisms on Earth. Even though ca. 60 black fungal genomes have been sequenced to date, [mostly in the family Herpotrichiellaceae (Eurotiomycetes)], the class Dothideomycetes that hosts the largest majority of extremophiles has only been sparsely sampled. By sequencing up to 92 species that will become reference genomes, the "Shed light in The daRk lineagES of the fungal tree of life" (STRES) project will cover a broad collection of black fungal diversity spread throughout the Fungal Tree of Life. Interestingly, the STRES project will focus on mostly unsampled genera that display different ecologies and life-styles (e.g., ant- and lichen-associated fungi, rock-inhabiting fungi, etc.). With a resequencing strategy of 10- to 15-fold depth coverage of up to ~550 strains, numerous new reference genomes will be established. To identify metabolites and functional processes, these new genomic resources will be enriched with metabolomics analyses coupled with transcriptomics experiments on selected species under various stress conditions (salinity, dryness, UV radiation, oligotrophy). The data acquired will serve as a reference and foundation for establishing an encyclopedic database for fungal metagenomics as well as the biology, evolution, and ecology of the fungi in extreme environments.
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- 2020
17. Xerophilic fungi contaminating historically valuable easel paintings from Slovenia
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Polona Zalar, Daša Graf Hriberšek, Cene Gostinčar, Martin Breskvar, Sašo Džeroski, Mojca Matul, Monika Novak Babič, Jerneja Čremožnik Zupančič, Amela Kujović, Nina Gunde-Cimerman, and Katja Kavkler
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fungi ,easel paintings ,contamination ,damage ,machine learning ,biodeterioration ,Microbiology ,QR1-502 - Abstract
Historically valuable canvas paintings are often exposed to conditions enabling microbial deterioration. Painting materials, mainly of organic origin, in combination with high humidity and other environmental conditions, favor microbial metabolism and growth. These preconditions are often present during exhibitions or storage in old buildings, such as churches and castles, and also in museum storage depositories. The accumulated dust serves as an inoculum for both indoor and outdoor fungi. In our study, we present the results on cultivable fungi isolated from 24 canvas paintings, mainly exhibited in Slovenian sacral buildings, dating from the 16th to 21st centuries. Fungi were isolated from the front and back of damaged and undamaged surfaces of the paintings using culture media with high- and low-water activity. A total of 465 isolates were identified using current taxonomic DNA markers and assigned to 37 genera and 98 species. The most abundant genus was Aspergillus, represented by 32 species, of which 9 xerophilic species are for the first time mentioned in contaminated paintings. In addition to the most abundant xerophilic A. vitricola, A. destruens, A. tardicrescens, and A. magnivesiculatus, xerophilic Wallemia muriae and W. canadensis, xerotolerant Penicillium chrysogenum, P. brevicompactum, P. corylophilum, and xerotolerant Cladosporium species were most frequent. When machine learning methods were used to predict the relationship between fungal contamination, damage to the painting, and the type of material present, proteins were identified as one of the most important factors and cracked paint was identified as a hotspot for fungal growth. Aspergillus species colonize paintings regardless of materials, while Wallemia spp. can be associated with animal fat. Culture media with low-water activity are suggested in such inventories to isolate and obtain an overview of fungi that are actively contaminating paintings stored indoors at low relative humidity.
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- 2023
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18. Engineering the Comfort‐of‐Wear for Next Generation Wearables
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Tokihiko Shimura, Shun Sato, Peter Zalar, and Naoji Matsuhisa
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flexible electronics ,smart healthcare sensors ,stretchable electronics ,wearable electronics ,wearables ,Electric apparatus and materials. Electric circuits. Electric networks ,TK452-454.4 ,Physics ,QC1-999 - Abstract
Abstract Wearable technologies are becoming important for the fields of information technology and healthcare, driven mainly by societal issues such as the aging society and the current pandemic. Recently developed flexible/stretchable wearable devices have demonstrated their ability for long‐term healthcare monitoring with improved signal integrity and multimodality. However, the adherence of wearers to such wearable devices cannot be determined only by the function. Here “comfort‐of‐wear” is identified as one of the most critical parameters for future wearables, similar to how clothes are chosen based on how comfortable they are. “Comfort‐of‐wear” is defined as the device's ability to not to disturb the wearers’ daily life. Several engineering approaches are introduced to improve the comfort‐of‐wear of devices—via strategies that include improving flexibility by utilizing a combination of structures, materials, and systems. Finally, the future of wearables enabled by cutting‐edge advanced electronic technologies is proposed.
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- 2023
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19. A local-global principle for linear dependence in enveloping algebras of Lie algebras
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Cimprič, Jaka and Zalar, Aljaž
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Mathematics - Representation Theory ,Mathematics - Rings and Algebras ,16W10, 17B10 - Abstract
For every associative algebra $A$ and every class $\mathcal{C}$ of representations of $A$ the following question (related to nullstellensatz) makes sense: Characterize all tuples of elements $a_1,\ldots,a_n \in A$ such that vectors $\pi(a_1)v,\ldots,\pi(a_n)v$ are linearly dependent for every $\pi \in \mathcal{C}$ and every $v$ from the representation space of $\pi$. We answer this question in the following cases: (1) $A=U(L)$ is the enveloping algebra of a finite-dimensional complex Lie algebra $L$ and $\mathbb{C}$ is the class of all finite-dimensional representations of $A$. (2) $A=U(\mathfrak{sl}_2(\mathbb{C}))$ and $\mathbb{C}$ is the class of all finite-dimensional irreducible representations of $A$. (3) $A=U(\mathfrak{sl}_3(\mathbb{C}))$ and $\mathbb{C}$ is the class of all finite-dimensional irreducible representations of $A$ with sufficiently high weights. In case (1) the answer is: tuples that are linearly dependent over $\mathbb{C}$ while in cases (2) and (3) the answer is: tuples that are linearly dependent over the center of $A$. Similar results have been proved before for free algebras and Weyl algebras., Comment: 21 pages
- Published
- 2019
20. Polymer-dispersed liquid crystal elastomers as moldable shape-programmable material
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Matej Bobnar, Nikita Derets, Saide Umerova, Valentina Domenici, Nikola Novak, Marta Lavrič, George Cordoyiannis, Boštjan Zalar, and Andraž Rešetič
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Science - Abstract
Development of Soft shape-memory materials is often limited to the synthesis of two-dimensional specimens and rely on bending mechanisms and scaffolding topology to perform three-dimensional morphing. Here, the authors demonstrate a shape-memory composite material made from main-chain liquid crystal elastomer microparticles dispersed in a silicone polymer matrix which enables molding into full-volume objects of any shape or size.
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- 2023
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21. Fungal colonisation on wood surfaces weathered at diverse climatic conditions
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Faksawat Poohphajai, Olena Myronycheva, Olov Karlsson, Tiina Belt, Lauri Rautkari, Jakub Sandak, Ana Gubenšek, Polona Zalar, Nina Gunde-Cimerman, and Anna Sandak
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Fungal infestation ,Colonisation rate ,Natural weathering ,Ascomycetes fungi ,Mould ,Biofilm formation ,Science (General) ,Q1-390 ,Social sciences (General) ,H1-99 - Abstract
Natural weathering test at two different European climatic zones were conducted to investigate simultaneously both, the fungal colonisation and weathering process of Scots pine wood (Pinus sylvestris L.). The hypothesis was that the wood performing differently in various climate conditions might affect fungal infestation. The colour changes, wettability, and glossiness were measured as indicators of weathering progress of wood together with an assessment of fungal diversity. Different intensities in weathering, occupancy, and colonisation of fungi on wooden surface were detected. A higher number of fungal species was found on wood exposed to the warm temperate climates compared to subarctic or boreal climates. The dominant fungal species in both locations were from the genera Cladosporium and Aureobasidium.
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- 2023
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22. Thermomechanical response of liquid crystal elastomers: role of crosslinker density
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N Derets, V Domenici, A Rešetič, and B Zalar
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thermomechanical response ,liquid crystal elastomers ,composites ,Materials of engineering and construction. Mechanics of materials ,TA401-492 ,Chemical technology ,TP1-1185 - Abstract
In this work thermomechanical properties of main-chain liquid crystal elastomers (MC-LCEs) with different degrees of crosslinking were investigated, and gradual loss of thermomechanical response was observed on repetitive measurements. Specifically, six samples of MC-LCEs were prepared, with crosslinker-to-mesogen relative concentration ranging from 5% to 10% in steps of 1%. The obtained results were then compared to thermomechanical response of side-chain liquid crystal elastomers (SC-LCEs). Additionally, thermomechanical response of polymer dispersed main-chain liquid crystal elastomers (MC-PDLCEs) was investigated. Results indicate that in MC-LCEs the concentration of crosslinker defines thermomechanical response and affects stability of the system. The loss of thermomechanical response is negligible in the case of crosslinker to mesogen ratio being the smallest, namely in 5% sample, and it is unaffected by glasslike to nematic phase transition. SC-LCEs do not show any sign of such behaviour and remain stable after several cycles of thermomechanical measurements.
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- 2024
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23. Degradation Potential of Xerophilic and Xerotolerant Fungi Contaminating Historic Canvas Paintings
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Amela Kujović, Cene Gostinčar, Katja Kavkler, Natalija Govedić, Nina Gunde-Cimerman, and Polona Zalar
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enzymes ,biodeterioration ,moulds ,oil paintings ,Aspergillus ,Penicillium ,Biology (General) ,QH301-705.5 - Abstract
Fungi are important contaminants of historic canvas paintings worldwide. They can grow on both sides of the canvas and decompose various components of the paintings. They excrete pigments and acids that change the visual appearance of the paintings and weaken their structure, leading to flaking and cracking. With the aim of recognizing the most dangerous fungal species to the integrity and stability of paintings, we studied 55 recently isolated and identified strains from historic paintings or depositories, including 46 species from 16 genera. The fungi were categorized as xero/halotolerant or xero/halophilic based on their preference for solutes (glycerol or NaCl) that lower the water activity (aw) of the medium. Accordingly, the aw value of all further test media had to be adjusted to allow the growth of xero/halophilic species. The isolates were tested for growth at 15, 24 °C and 37 °C. The biodeterioration potential of the fungi was evaluated by screening their acidification properties, their ability to excrete pigments and their enzymatic activities, which were selected based on the available nutrients in paintings on canvas. A DNase test was performed to determine whether the selected fungi could utilize DNA of dead microbial cells that may be covering surfaces of the painting. The sequestration of Fe, which is made available through the production of siderophores, was also tested. The ability to degrade aromatic and aliphatic substrates was investigated to consider the potential degradation of synthetic restoration materials. Xerotolerant and moderately xerophilic species showed a broader spectrum of enzymatic activities than obligate xerophilic species: urease, β-glucosidase, and esterase predominated, while obligate xerophiles mostly exhibited β-glucosidase, DNase, and urease activity. Xerotolerant and moderately xerophilic species with the highest degradation potential belong to the genus Penicillium, while Aspergillus penicillioides and A. salinicola represent obligately xerophilic species with the most diverse degradation potential in low aw environments.
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- 2024
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24. Genomic evidence for intraspecific hybridization in a clonal and extremely halotolerant yeast
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Gostinčar, Cene, Stajich, Jason E, Zupančič, Jerneja, Zalar, Polona, and Gunde-Cimerman, Nina
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Microbiology ,Biological Sciences ,Genetics ,Biotechnology ,Human Genome ,Ascomycota ,Diploidy ,Ecosystem ,Genome ,Fungal ,Genomics ,Hybridization ,Genetic ,Phylogeny ,Whole genome duplication ,Hybridization ,Clonal reproduction ,Restricted recombination ,Halotolerance ,Polyextremotolerance ,Salt stress ,Black yeast ,Ploidy ,Information and Computing Sciences ,Medical and Health Sciences ,Bioinformatics ,Biological sciences ,Biomedical and clinical sciences - Abstract
BackgroundThe black yeast Hortaea werneckii (Dothideomycetes, Ascomycota) is one of the most extremely halotolerant fungi, capable of growth at NaCl concentrations close to saturation. Although dothideomycetous fungi are typically haploid, the reference H. werneckii strain has a diploid genome consisting of two subgenomes with a high level of heterozygosity.ResultsIn order to explain the origin of the H. werneckii diploid genome we here report the genome sequencing of eleven strains isolated from different habitats and geographic locations. Comparison of nine diploid and two haploid strains showed that the reference genome was likely formed by hybridization between two haploids and not by endoreduplication as suggested previously. Results also support additional hybridization events in the evolutionary history of investigated strains, however exchange of genetic material in the species otherwise appears to be rare. Possible links between such unusual reproduction and the extremotolerance of H. werneckii remain to be investigated.ConclusionsH. werneckii appears to be able to form persistent haploid as well as diploid strains, is capable of occasional hybridization between relatively heterozygous haploids, but is otherwise limited to clonal reproduction. The reported data and the first identification of haploid H. werneckii strains establish this species as a good model for studying the effects of ploidy and hybridization in an extremotolerant system unperturbed by frequent genetic recombination.
- Published
- 2018
25. Characterisation of 20th Century Cementitious Materials from Selected Cultural Heritage Structures in Slovenia
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Mateja Golež, Vesna Zalar Serjun, Mateja Štefančič, Darja Rant, and Sabina Dolenec
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20th century ,cementitious materials ,historical concrete ,cultural heritage ,Technology ,Electrical engineering. Electronics. Nuclear engineering ,TK1-9971 ,Engineering (General). Civil engineering (General) ,TA1-2040 ,Microscopy ,QH201-278.5 ,Descriptive and experimental mechanics ,QC120-168.85 - Abstract
This paper deals with the characterisation of cementitious materials from selected cultural heritage structures in Slovenia. The mineralogical–petrographic compositions of an aggregate, a type of binder and secondary minerals were studied via electron microscopy and X-ray powder diffraction. The porosity and pore network were determined using a mercury porosimeter. The results show that the aggregate of the samples was highly diverse, ranging from limestone, dolomite, quartz, feldspar and mica. The binder of the investigated samples was cementitious; either ordinary Portland cement was used, or ordinary Portland cement blended with ground granulated blast furnace slag was used. Some samples consisted of cement–lime binders. The investigated examples entailing cement materials for their construction contribute to a better understanding of the technology used to prepare historical cementitious and cement–lime mixtures.
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- 2023
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26. Novel Antarctic yeast adapts to cold by switching energy metabolism and increasing small RNA synthesis
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Touchette, D., Altshuler, I., Gostinčar, C., Zalar, P., Raymond-Bouchard, I., Zajc, J., McKay, C. P., Gunde-Cimerman, N., and Whyte, L. G.
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- 2022
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27. Sewage sludge management at the central wastewater treatment plant Ljubljana – characterization of its properties, possibilities for sustainable utilization and legislative obstacles
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Vesna Mislej, Viktor Grilc, Barbara Novosel, Ana Mladenovič, and Vesna Zalar Serjun
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sewage sludge management ,sustainable utilization ,legislative obstacles ,Environmental protection ,TD169-171.8 - Abstract
The treated sewage sludge under consideration is a hygienized biodegradable waste in the form of pellets. It can be used as a fertilizer, but only for spreading on non-agricultural land. Regarding “waste to energy” philosophy, the specification of pellets as an alternative solid fuel according to EN 15359 resulted in “NCV4; Cl1; Hg3-4” class. The major problem regarding the final pellets utilization is the lack of facilities for energy and material recovery from this type of waste in Slovenia. According to the newest legislation regarding the waste management, a product status for residues generated in combustion and pyrolysis of pellets on a laboratory and semi-pilot scale was not achieved. The holistic approach to final pellets utilization was studied and regarding the full-scale level of self-sufficient sewage sludge management in Slovenia, some legislative provisions become significant obstacles.
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- 2021
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28. Valorized deinking paper residue as fill material for geotechnical structures
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Karmen Fifer Bizjak, Barbara Likar, Ana Mladenovič, and Vesna Zalar Serjun
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Medicine ,Science - Abstract
Abstract This study introduces a novel geotechnical composite material comprising two types of fill material sourced from the paper industry—deinking paper sludge ash (DPSA) and deinking paper sludge (DPS). Five composites with different DPSA and DPS contents were investigated. Two composites were selected for further analyses. The technology and procedure for composite installation were implemented in field tests. The composites with 80% and 70% DPSA exhibited the elasticity required to withstand minor landslide slip deformations, in addition to achieving sufficiently high values of uniaxial compressive strength. The composites had a low maximum dry density value, which led to fewer settlements in the entire support structure. The enhanced shear characteristics can enable the construction of a thinner retaining wall. The delay between preparation and installation of the composites was further investigated. The field tests confirmed that the composites with 80% and 70% DPSA can be installed on the construction site 4 h and even 24 h after mixing. In 2018, a retaining wall structure with 70% DPSA and 30% DPS was successfully implemented near a railway line using conventional technology as followed-up research to the herein presented study. Results have been derived from work performed in the scope of the H2020 Paperchain project in which novel circular economy models centered on the valorization of the waste streams generated by the pulp and paper industry as secondary raw material for several resource-intensive sectors, including the construction sector, have been developed. Environmental benefits are savings in natural raw materials, reduction of landfill disposal as well as CO2 emission reduction.
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- 2021
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29. There are many more positive maps than completely positive maps
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Klep, Igor, McCullough, Scott, Šivic, Klemen, and Zalar, Aljaž
- Subjects
Mathematics - Functional Analysis ,Mathematics - Optimization and Control ,Quantum Physics ,13J30, 46L07, 52A40 (Primary), 47L25, 81P45, 90C22 (Secondary) - Abstract
A linear map between matrix spaces is positive if it maps positive semidefinite matrices to positive semidefinite ones, and is called completely positive if all its ampliations are positive. In this article quantitative bounds on the fraction of positive maps that are completely positive are proved. A main tool are real algebraic geometry techniques developed by Blekherman to study the gap between positive polynomials and sums of squares. Finally, an algorithm to produce positive maps which are not completely positive is given., Comment: v2: 47 pages; includes a more thorough discussion of (completely) positive maps on complex matrices; v1: 37 pages; supplementary material (a Mathematica notebook) is available from Other formats
- Published
- 2016
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30. The singular bivariate quartic tracial moment problem
- Author
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Bhardwaj, Abhishek and Zalar, Aljaž
- Subjects
Mathematics - Functional Analysis ,47A57, 15A45, 13J30 (Primary), 11E25, 44A60, 15-04 (Secondary) - Abstract
The (classical) truncated moment problem, extensively studied by Curto and Fialkow, asks to characterize when a finite sequence of real numbers indexes by words in commuting variables can be represented with moments of a positive Borel measure $\mu$ on $\mathbb R^n$. In \cite{BK12} Burgdorf and Klep introduced its tracial analog, the truncated tracial moment problem, which replaces commuting variables with non-commuting ones and moments of $\mu$ with tracial moments of matrices. In the bivariate quartic case, where indices run over words in two variables of degree at most four, every sequence with a positive definite $7\times 7$ moment matrix $\mathcal M_2$ can be represented with tracial moments \cite{BK10,BK12}. In this article the case of singular $\mathcal M_2$ is studied. For $\mathcal M_2$ of rank at most 5 the problem is solved completely; namely, concrete measures are obtained whenever they exist and the uniqueness question of the minimal measures is answered. For $\mathcal M_2$ of rank 6 the problem splits into four cases, in two of which it is equivalent to the feasibility problem of certain linear matrix inequalities. Finally, the question of a flat extension of the moment matrix $\mathcal M_2$ is addressed. While this is the most powerful tool for solving the classical case, it is shown here by examples that, while sufficient, flat extensions are mostly not a necessary condition for the existence of a measure in the tracial case., Comment: v2: 56 pages; most of the arguments done with a computer computation replaced by theoretical arguments; v1: 54 pages
- Published
- 2016
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31. Operator Positivstellens\'atze for noncommutative polynomials positive on matrix convex sets
- Author
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Zalar, Aljaž
- Subjects
Mathematics - Operator Algebras ,Mathematics - Functional Analysis ,14P10, 15A22, 46L07, 47A63 (Primary), 11E25, 13J30, 46L89, 46N10, 47L25 (Secondary) - Abstract
This article studies algebraic certificates of positivity for noncommutative (nc) operator-valued polynomials on matrix convex sets, such as the solution set $D_L$, called a free Hilbert spectrahedron, of the linear operator inequality (LOI) $L(X)=A_0\otimes I+\sum_{j=1}^g A_{j}\otimes X_j\succeq 0,$ where $A_j$ are self-adjoint linear operators on a separable Hilbert space, $X_j$ matrices and $I$ is an identity matrix. If $A_j$ are matrices, then $L(X)\succeq 0$ is called a linear matrix inequality (LMI) and $D_L$ a free spectrahedron. For monic LMIs, i.e., $A_0=I$, and nc matrix-valued polynomials the certificates of positivity were established by Helton, Klep and McCollough in a series of articles with the use of the theory of complete positivity from operator algebras and classical separation arguments from real algebraic geometry. Since the full strength of the theory of complete positivity is not restricted to finite dimensions, but works well also in the infinite-dimensional setting, we use it to tackle our problems. First we extend the characterization of the inclusion $D_{L_1}\subseteq D_{L_2}$ from monic LMIs to monic LOIs. As a corollary one obtains the description of a polar dual of a free Hilbert spectrahedron $D_L$ and its projection, called a free Hilbert spectrahedrop. Using this characterization in a separation argument, we obtain a certificate for multivariate matrix-valued nc polynomials $F$ positive semidefinite on a free Hilbert spectrahedron defined by a monic LOI. Replacing the separation argument by an operator Fej\'er-Riesz theorem enables us to extend this certificate, in the univariate case, to operator-valued polynomials $F$. Finally, focusing on the algebraic description of the equality $D_{L_1}=D_{L_2}$, we remove the assumption of boundedness from the description in the LMIs case by an extended analysis. However, the description does not extend to LOIs., Comment: v2: 47 pages, several minor corrections; v1: 48 pages. arXiv admin note: text overlap with arXiv:1102.4859 by other authors
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- 2016
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32. Cultivable Skin Mycobiota of Healthy and Diseased Blind Cave Salamander (Proteus anguinus)
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Polona Zalar, Ana Gubenšek, Cene Gostincar, Rok Kostanjšek, Lilijana Bizjak-Mali, and Nina Gunde-Cimerman
- Subjects
Proteus anguinus ,olm ,fungi ,opportunistic pathogens ,Saprolegnia ,Microbiology ,QR1-502 - Abstract
Proteus anguinus is a neotenic cave salamander, endemic to the Dinaric Karst and a symbol of world natural heritage. It is classified as “vulnerable” by the International Union for Conservation of Nature (IUCN) and is one of the EU priority species in need of strict protection. Due to inaccessibility of their natural underground habitat, scientific studies of the olm have been conducted mainly in captivity, where the amphibians are particularly susceptible to opportunistic microbial infections. In this report, we focused on the diversity of cultivable commensal fungi isolated from the skin of asymptomatic and symptomatic animals obtained from nature (20 specimens) and captivity (22 specimens), as well as from underground water of two karstic caves by direct water filtration and by exposure of keratin-based microbial baits and subsequent isolation from them. In total 244 fungal isolates were recovered from the animals and additional 153 isolates were obtained from water samples. Together, these isolates represented 87 genera and 166 species. Symptomatic animals were colonized by a variety of fungal species, most of them represented by a single isolate, including genera known for their involvement in chromomycosis, phaeohyphomycosis and zygomycosis in amphibians: Acremonium, Aspergillus, Cladosporium, Exophiala, Fusarium, Mucor, Ochroconis, Phialophora and Penicillium. One symptomatic specimen sampled from nature was infected by the oomycete Saprolegnia parasitica, the known causative agent of saprolegniosis. This is the first comprehensive report on cultivable skin mycobiome of this unique amphibian in nature and in captivity, with an emphasis on potentially pathogenic fungi and oomycetes.
- Published
- 2022
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33. Matrix Fej\'er-Riesz theorem with gaps
- Author
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Zalar, Aljaž
- Subjects
Mathematics - Algebraic Geometry - Abstract
The matrix Fej\'er-Riesz theorem characterizes positive semidefinite matrix polynomials on the real line $\mathbb{R}$. We extend a characterization to arbitrary closed semialgebraic sets $K\subseteq \mathbb{R}$ by the use of matrix preorderings from real algebraic geometry. In the compact case a denominator-free characterization exists, while in the non-compact case there are counterexamples. However, there is a weaker characterization with denominators in the non-compact case. At the end we extend the results to algebraic curves., Comment: 19 pages
- Published
- 2015
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34. Properties and Assessment of Applications of Red Mud (Bauxite Residue): Current Status and Research Needs
- Author
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Reddy, Peddireddy Sreekanth, Reddy, Narala Gangadhara, Serjun, Vesna Zalar, Mohanty, Bijayananda, Das, Sarat Kumar, Reddy, Krishna R., and Rao, Bendadi Hanumantha
- Published
- 2021
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35. KONSTRUKCIJA IDENTITETA GLAVNIH LIKOVA U KNJIŽEVNIM SERIJALIMA GREGOVI DNEVNICI JEFFA KINNEYA, TIMI PROMAŠAJ STEPHANA PASTISA I SERIJALU O MIRKU MELITE RUNDEK I ILUSTRATORA MARTINA ZALARA
- Author
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Diana Zalar
- Subjects
identitet ,polifoničnost ,procesualnost ,uloga ilustracije ,Philology. Linguistics ,P1-1091 - Abstract
Autorica razmatra konstrukcije identiteta glavnih likova u dva američka književna serijala i jednome hrvatskome, koji njeguju povezanost i isprepletenost ilustracije sa tekstom, a namijenjeni su suvremenome čitatelju. Polazeći od definiranja pojma identiteta kao višeslojnog, polifoničnog fenomena na osnovi razmatranja teoretičarke A. Kos Lajtman, a isto tako i polifoničnih književnih struktura odabranih knjiga iz serijala Timi Promašaj, Gregovi dnevnici i serijalu o Mirku, autorica obrazlaže polazišta i karakteristike tri autorska modusa izgradnje identiteta glavnih likova. Pri tome je posebno zanimaju načini kako Jeff Kinney, Stephan Pastis, te dvojac Melita Rundek i Martin Zalar poniru u psihologiju djeteta i uključuju ilustraciju u pripovijedanje. Promišljanja B. Majhuta, Š. Batinić i S. Narančić Kovač o odnosu teksta i ilustracije u knjigama za djecu, S. McClouda o stripu i H. Bergsona o smiješnome bila su početna točka za taj dio rada. Polifoničnost književnoga teksta razmatra se kao supostojanje različitih diskurzivnih modela i strategija oblikovanja identiteta likova kao što su stilsko/značenjski sraz diskursa, prikaz necjelovite perspektive tinejdžera, pružanje više mogućnosti i razina za recepciju teksta u čitatelja različitih dobi i dr. Sva tri serijala pružaju vizualnost obilno i na mnoštvo načina. Polifoničnost, pak, likovnoga izraza u oblikovanju identiteta likova razmatra se na razinama šifriranog” koda pripovijedanja (ironija, mašta, formalna raznolikost ilustracije, rahlost teksta), anegdotalnih izleta iz priče (vizualizacije fraza, doslikavanje, hiperbola i kontrastiranje, intertekstualnost), fenomena vizualne samosvijesti karakterističnog za karikaturalnu ilustraciju (lančana naizmjeničnost teksta i slike). Humor objedinjuje poetike svih autora, a obilnost teksta i dalje drži serijale čvrsto u području žanra romana. Ipak, odnos između riječi i crteža vrlo je dinamičan i živ, pa se roman bliži stripu, čak i slikovnici, iskazujući time svoje hibridne mogućnosti.
- Published
- 2021
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36. Does an asylum seeker have a right to be confronted with inconsistencies or implausibilities in his submissions before a decision is taken?: A methodological approach
- Author
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Zalar, Boštjan
- Published
- 2021
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37. Integral representations of *-representations of *-algebras
- Author
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Zalar, Aljaž
- Subjects
Mathematics - Operator Algebras ,Mathematics - Functional Analysis - Abstract
Regular normalized $B(W_1,W_2)$-valued non-negative spectral measures introduced in \cite{Zalar2014} are in one-to-one correspondence with unital $\ast$-representations $\rho:C(X,\mathbb{C})\otimes W_1 \rightarrow W_2$, where $X$ stands for a compact Hausdorff space and $W_1, W_2$ stand for von Neumann algebras. In this paper we generalize this result in two directions. The first is to $\ast$-representations of the form $\rho:\mathcal{B}\otimes W_1\rightarrow W_2$, where $\mathcal{B}$ stands for a commutative $\ast$-algebra $\mathcal{B}$, and the second is to special (not necessarily bounded) $\ast$-representations of the form $\rho:\mathcal{B}\otimes W_1\rightarrow \mathcal{L}^+(\mathcal{D})$, where $\mathcal{L}^+(\mathcal{D})$ stands for a $\ast$-algebra of special linear operators on a dense subspace $\mathcal{D}$ of a Hilbert space $\mathcal{K}$., Comment: 22 pages
- Published
- 2014
38. The Influence by the Elderly on Modernising the Organisation of Tourist Farms
- Author
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Zalar Jože, Vukovič Goran, and Ovsenik Rok
- Subjects
the elderly ,modernising the organisation ,tourism ,tourist farms ,organisation ,Business ,HF5001-6182 - Abstract
Background and purpose: The demographic structure of the countryside shows that the number of people aged 65 or more is increasing; however, they are still active and motivated for work and help the younger generation. The research aims at studying the influence of the elderly on the organisation of tourist farms; particularly the factors which affect the organisation of operation and modernisation thereof, such as the factors of inheritance, intergenerational organisational relationships and cooperation, the frequency of further training, inclusion of the elderly in tourist farms and the effect of the perceived changes in the organisation of subsidiary tourist activities on farms on the perception of modernisation.
- Published
- 2020
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39. Evaluation of the training program for p16/ Ki-67 dual immunocytochemical staining interpretation for laboratory staff without experience in cervical cytology and immunocytochemistry
- Author
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Prevodnik Veronika Kloboves, Marinsek Ziva Pohar, Zalar Janja, Rozina Hermina, Kotnik Nika, Jerman Tine, Varl Jerneja, and Ivanus Urska
- Subjects
training protocol ,p16/ki-67 dual immunocytochemical staining ,agreement ,accuracy ,inter-observer reproducibility ,Medical physics. Medical radiology. Nuclear medicine ,R895-920 - Abstract
p16/Ki-67 dual immunocytochemical staining (DS) is considered easy to interpret if evaluators are properly trained, however, there is no consensus on what constitutes proper training. In the present study we evaluated a protocol for teaching DS evaluation on students inexperienced in cervical cytology.
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- 2020
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40. Caloric effects in liquid crystal-based soft materials
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Dejvid Črešnar, Nikita Derets, Maja Trček, Gregor Skačej, Andraž Rešetič, Marta Lavrič, Valentina Domenici, Boštjan Zalar, Samo Kralj, Zdravko Kutnjak, and Brigita Rožič
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electrocaloric ,elastocaloric ,liquid crystal ,liquid crystal elastomers ,Production of electric energy or power. Powerplants. Central stations ,TK1001-1841 ,Renewable energy sources ,TJ807-830 - Abstract
With the increased environmental awareness, the search for environmentally friendlier heat-management techniques has been the topic of many scientific studies. The caloric materials with large caloric effects, such as the electrocaloric (EC) and elastocaloric (eC) effects, have increased interest due to their potential to realize new solid-state refrigeration devices. Recently, caloric properties of soft materials, such as liquid crystals (LCs) and LC elastomers (LCEs), are getting more in the focus of caloric materials investigations, stimulated by large caloric effects observed in these materials. Here, an overview of recent direct measurements of large caloric effects in smectic LC 14CB and main-chain LCEs is given. Specifically, high-resolution thermometric measurements revealed a large EC response in 14CB LC exceeding 8 K. Such a large effect was obtained at a relatively moderate electric field of 30 kV cm ^−1 compared to solid EC materials. We demonstrate that such a small field can induce the isotropic to smectic A phase transition in 14CB, releasing or absorbing relatively large latent heat that enhances the EC response. Furthermore, it is demonstrated that in main-chain LCEs, the character of the nematic to isotropic transition can be tuned from the supercritical towards the first-order regime by decreasing the crosslinkers’ density. Such tuning results in a sharper phase transition and latent heat that enhance the eC response, exceeding 2 K and with the eC responsivity of 24 K MPa ^−1 , about three orders of magnitude larger than the average eC responsivity found in the best shape memory alloys. Significant caloric effects in soft LC-based materials, observed at much smaller fields than in solid caloric materials, demonstrate their ability to play an important role as new cooling elements, thermal diodes, and caloric-active regeneration material in new heat-management devices.
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- 2023
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41. New Liquid Crystalline Elastomeric Films Containing a Smectic Crosslinker: Chemical and Physical Properties
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Andraz Resetic, Jerneja Milavec, Alexej Bubnov, Damian Pociecha, Vera Hamplova, Ewa Gorecka, Bostjan Zalar, and Valentina Domenici
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liquid crystal elastomers ,nematic ,smectic A ,thermo-mechanic ,thermos-elastic ,2H NMR ,Crystallography ,QD901-999 - Abstract
Side-chain liquid crystal elastomers (SC-LCEs) have been designed by using a new smectic crosslinker. Two types of monodomain films were prepared based on polysiloxane chains, with a different relative concentration of both crosslinker and mesogenic comonomers. The mesomorphic behavior of the two SC-LCE systems was investigated by differential scanning calorimetry and polarized optical microscopy showing a different mesomorphic behavior: in one case, we obtained a nematic SC-LCE film, in the other case, a Smectic A SC-LCE film. In both systems, the mesophases were stable in a wide temperature range. Moreover, the SC-LCE films possess a relatively high orientation at room temperature. The physical-chemical properties, such as the local orientational ordering, structural organization, and dynamics of SC-LCEs’ constituents were studied by means of static and dynamic 2H NMR experiments, small-angle X-ray, and wide-angle X-ray diffractions. The relevant physical properties, such as the thermo-elastic and thermo-mechanic behaviors, are reported and discussed in view of the practical applications.
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- 2023
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42. Valorized deinking paper residue as fill material for geotechnical structures
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Fifer Bizjak, Karmen, Likar, Barbara, Mladenovič, Ana, and Zalar Serjun, Vesna
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- 2021
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43. The beauty and the yeast: can the microalgae Dunaliella form a borderline lichen with Hortaea werneckii?
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Muggia, Lucia, Zalar, Polona, Azua-Bustos, Armando, González-Silva, Carlos, Grube, Martin, and Gunde-Cimerman, Nina
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- 2020
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44. Non-negative spectral measures and representations of C*-algebras
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Zalar, Aljaž
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Mathematics - Functional Analysis - Abstract
Regular normalized W-valued spectral measures on a compact Hausdorff space X are in one-to-one correspondence with unital *-representations \rho:C(X)\to W, where W stands for a von Neumann algebra. In this paper we show that for every compact Hausdorff space X and every von Neumann algebras W_1,W_2 there is a one-to-one correspondence between unital *-representations \rho:C(X,W_1)\to W_2 and special B(W_1,W_2)-valued measures on X that we call non-negative spectral measures. Such measures are special cases of non-negative measures that we introduced in our previous paper in connection with moment problems for operator polynomials., Comment: 20 pages
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- 2013
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45. Shear flow-controlled shape memory of polymer resin dispersed liquid crystal elastomer microparticles
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Saide Umerova, Danjela Kuscer, Matej Bobnar, Nikita Derets, Boštjan Zalar, and Andraž Rešetič
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Liquid crystal elastomer microparticles ,Thermomechanical response ,Soft elasticity ,Shear stress ,Materials of engineering and construction. Mechanics of materials ,TA401-492 - Abstract
Thermomechanically active shape-programmable elastomer microparticles are very promising for development of particulate composites with unique operational properties, which could be attractive for various applications, e.g., in 3D printing. Liquid crystal elastomers are one of the suitable candidate materials due to their remarkable spontaneous shape change response. Performed rheological and thermomechanical tests demonstrate that shear stress can be used to efficiently manipulate the nematic order-driven morphology of liquid crystal elastomer microparticles (μLCEs). Specifically, by exploiting the soft-elasticity character of the material through manipulation of shear amplitude time profile, the nematic director can be oriented along the flow, which results in alignment of microparticles. Using this method, a suspension of well-aligned, thermomechanically elongated monodomain μLCEs can be created by shear stress-assisted cooling. Although the alignment can be lost in absence of persistent flow, it is restored instantaneously on re-application of the flow. The reason for this is the preservation of particle elongation at room temperature in zero flow. This shape memory can be erased by heating the system to the isotropic phase. Our work represents an important step forward in the development of a new generation of shape-programmable materials, which are potentially suitable for additive manufacturing of artefacts with anisotropic physical properties.
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- 2021
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46. Extraction of Polyphenols and Valorization of Fibers from Istrian-Grown Pomegranate (Punica granatum L.)
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Mihaela Skrt, Alen Albreht, Irena Vovk, Oana Emilia Constantin, Gabriela Râpeanu, Mija Sežun, Ilja Gasan Osojnik Črnivec, Uroš Zalar, and Nataša Poklar Ulrih
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pomegranate ,pomegranate fruit ,pomegranate juice ,processing residues ,bioactive compounds ,antioxidants ,Chemical technology ,TP1-1185 - Abstract
Pomegranate fruit is an ancient fruit that is used not only because of its deep-red color and tasty arils but also due to the health benefits of its extracts. Pomegranate is a valuable source of bioactive compounds, including colorful anthocyanins and other polyphenols. The main objective of the present study was to gain comprehensive knowledge of the phenolic composition and antioxidative activity of a new pomegranate cultivar, grown in Northwest Istria, a part of the North Adriatic coastal area. Various parts of the pomegranate fruit parts were extracted in 70% ethanol or water. Total phenolic content and antioxidative capacity were respectively determined with Folin–Ciocalteu reagent and ABTS radical. Phenolics were examined and analyzed with TLC, LC-MS, and HPLC. Pomegranate juice was prepared from red arils and after thermal treatment, the stability of anthocyanins was monitored for several months to understand the effect of storage. The highest total phenolics were determined in ethanol pomegranate peel extracts (30.5 ± 0.6 mg GAE/g DM), and water peel extracts exhibited the highest antioxidative activity (128 ± 2 µg TE/g DM). After five months of storage of thermally treated pomegranate juice, 50–60 percentage points increase in anthocyanin degradation was observed. Pomegranate peel was further tested as a sustainable inedible food source for papermaking. Due to the low content of cellulose and the high percentage of extractives, as well as a distinguished texture and appearance, the paper made from pomegranate peel is best suited for the production of specialty papers, making it particularly interesting for bioactives recovery, followed by material restructuring.
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- 2022
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47. Moment problems for operator polynomials
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Cimprič, J. and Zalar, A.
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Mathematics - Functional Analysis - Abstract
We extend Haviland's theorem on the integral representation of positive linear functionals on usual (real multivariate) polynomials to the integral representation of positive linear maps on operator polynomials mapping into the space of operators. We also extend its special case of compact semialgebraic set studied by Schm\"udgen to matrix polynomials and show with a counterexample, that the extension to the operator polynomials fails in general.
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- 2012
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48. Depth Profile of Optically Recorded Patterns in Light-Sensitive Liquid Crystal Elastomers
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Gregorc, Marko, Zalar, Boštjan, Domenici, Valentina, Ambrožič, Gabriela, Drevenšek-Olenik, Irena, Fally, Martin, and Čopič, Martin
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Physics - Optics - Abstract
We investigated nonlinear absorption and photobleaching processes in a liquid crystal elastomer (LCE) doped with light-sensitive azobenzene moiety. A conventional one-dimensional holographic grating was recorded in the material with the use of two crossed UV laser beams and the angular dependence of the diffraction efficiency in the vicinity of the Bragg peak was analyzed. These measurements gave information on the depth to which trans to cis isomerisation had progressed into the sample as a function of the UV irradiation time. Using a numerical model that takes into account the propagation of writing beams and rate equations for the local concentration of the absorbing trans conformer, we computed the expected spatial distribution of the trans and cis conformers and the shape of the corresponding Bragg diffraction peak for different irradiation doses. Due to residual absorption of the cis conformers the depth of the recording progresses logarithmically with time and is limited by the thermal relaxation from the cis to trans conformation., Comment: 19 pages (incl. figs), 6 figures
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- 2011
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49. A note on a matrix version of the Farkas lemma
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Zalar, Aljaž
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Mathematics - Operator Algebras ,Primary 46L07, 14P10, 90C22, Secondary 11E25, 46L89, 13J30 - Abstract
A linear polyomial non-negative on the non-negativity domain of finitely many linear polynomials can be expressed as their non-negative linear combination. Recently, under several additional assumptions, Helton, Klep, and McCullough extended this result to matrix polynomials. The aim of this paper is to study which of these additional assumptions are really necessary., Comment: 10 pages
- Published
- 2010
50. The Truncated Hamburger Moment Problems with Gaps in the Index Set
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Zalar, Aljaž
- Published
- 2021
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