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8. Wireless random‐access networks with bipartite interference graphs.

Author

Borst, Sem C., den Hollander, Frank, Nardi, Francesca R., and Sfragara, Matteo

Subjects
GREEDY algorithms, BIPARTITE graphs, SUBGRAPHS
Abstract

We consider random‐access networks where nodes represent servers with a queue and can be either active or inactive. A node deactivates at unit rate, while it activates at a rate that depends on its queue length, provided none of its neighbors is active. We consider arbitrary bipartite graphs in the limit as the initial queue lengths become large and identify the transition time between the two states where one half of the network is active and the other half is inactive. The transition path is decomposed into a succession of transitions on complete bipartite subgraphs. We formulate a randomized greedy algorithm that takes the graph as input and gives as output the set of transition paths the network is most likely to follow. Along each path we determine the mean transition time and its law on the scale of its mean. Depending on the activation rates, we identify three regimes of behavior. [ABSTRACT FROM AUTHOR]

Published
2024
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12. Breaking of ensemble equivalence for dense random graphs under a single constraint.

Author

Den Hollander, Frank and Markering, Maarten

Subjects
DENSE graphs, RANDOM graphs, SPARSE graphs, RANDOM matrices, CANONICAL ensemble, BEES
Abstract

Two ensembles are frequently used to model random graphs subject to constraints: the microcanonical ensemble (= hard constraint) and the canonical ensemble (= soft constraint). It is said that breaking of ensemble equivalence (BEE) occurs when the specific relative entropy of the two ensembles does not vanish as the size of the graph tends to infinity. Various examples have been analysed in the literature. It was found that BEE is the rule rather than the exception for two classes of constraints: sparse random graphs when the number of constraints is of the order of the number of vertices, and dense random graphs when there are two or more constraints that are frustrated. We establish BEE for a third class: dense random graphs with a single constraint on the density of a given simple graph. We show that BEE occurs in a certain range of choices for the density and the number of edges of the simple graph, which we refer to as the BEE-phase. We also show that, in part of the BEE-phase, there is a gap between the scaling limits of the averages of the maximal eigenvalue of the adjacency matrix of the random graph under the two ensembles, a property that is referred to as the spectral signature of BEE. We further show that in the replica symmetric region of the BEE-phase, BEE is due to the coexistence of two densities in the canonical ensemble. [ABSTRACT FROM AUTHOR]

Published
2023
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20. Pionieren op het Rekencentrum

Author

Kraak, Jan, Piersma, Kristien, and den Hollander, Frank

Abstract

“Pioniers waren we tijdens de eerste jaren van het in 1959 opgerichte Rekencentrum. Veel moest er nog worden uitgevonden. Door de trage verwerking van de programma’s en de gebrekkige programmeerhulpmiddelen ging alles moeizaam en traag. Je moest je levenstempo erop afstemmen en alleen mensen met veel geduld voelden zich er helemaal gelukkig bij.” Jan Kraak was programmeur bij het in 1959 opgerichte Rekencentrum van de Rijksuniversiteit Groningen, later het Centrum voor Informatie Technologie (CIT). In het ict-magazine Pictogram schreef Kraak jarenlang artikelen over zijn werk; van het eerste Zeer Eenvoudige Binair Reken Apparaat (zebra) tot en met de laatste ontwikkelingen op het gebied van informatievisualisatie en uiteindelijk de komst van het world wide web. In 2006 ging Jan Kraak met pensioen, maar hij bleef schrijven voor Pictogram. Dit boek bevat een door hemzelf gemaakte selectie van zijn meest interessante artikelen; een boeiende geschiedenis van een halve eeuw universitaire rekenfaciliteiten.

Published
2022

22. The Even-Dimensional Surgery Obstruction

Author

Lück, Wolfgang, Macko, Tibor, Chenciner, Alain, Editor-in-Chief, Varadhan, S.R.S., Editor-in-Chief, Darmon, Henri, Series Editor, de la Harpe, Pierre, Series Editor, den Hollander, Frank, Series Editor, Hitchin, Nigel J., Series Editor, Joshi, Nalini, Series Editor, Kupiainen, Antti, Series Editor, Lebeau, Gilles, Series Editor, Le Gall, Jean-François, Series Editor, Lin, Fang-Hua, Series Editor, Mori, Shigefumi, Series Editor, Ngô, Bảo Châu, Series Editor, Serre, Denis, Series Editor, Waldschmidt, Michel, Series Editor, Lück, Wolfgang, Macko, Tibor, and Crowley, Diarmuid, With Contrib. by

Published
2024
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23. Homotopy Spheres

Author

Lück, Wolfgang, Macko, Tibor, Chenciner, Alain, Editor-in-Chief, Varadhan, S.R.S., Editor-in-Chief, Darmon, Henri, Series Editor, de la Harpe, Pierre, Series Editor, den Hollander, Frank, Series Editor, Hitchin, Nigel J., Series Editor, Joshi, Nalini, Series Editor, Kupiainen, Antti, Series Editor, Lebeau, Gilles, Series Editor, Le Gall, Jean-François, Series Editor, Lin, Fang-Hua, Series Editor, Mori, Shigefumi, Series Editor, Ngô, Bảo Châu, Series Editor, Serre, Denis, Series Editor, Waldschmidt, Michel, Series Editor, Lück, Wolfgang, Macko, Tibor, and Crowley, Diarmuid, With Contrib. by

Published
2024
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24. The Odd-Dimensional Surgery Obstruction

Author

Lück, Wolfgang, Macko, Tibor, Chenciner, Alain, Editor-in-Chief, Varadhan, S.R.S., Editor-in-Chief, Darmon, Henri, Series Editor, de la Harpe, Pierre, Series Editor, den Hollander, Frank, Series Editor, Hitchin, Nigel J., Series Editor, Joshi, Nalini, Series Editor, Kupiainen, Antti, Series Editor, Lebeau, Gilles, Series Editor, Le Gall, Jean-François, Series Editor, Lin, Fang-Hua, Series Editor, Mori, Shigefumi, Series Editor, Ngô, Bảo Châu, Series Editor, Serre, Denis, Series Editor, Waldschmidt, Michel, Series Editor, Lück, Wolfgang, Macko, Tibor, and Crowley, Diarmuid, With Contrib. by

Published
2024
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25. Normal Maps and the Surgery Problem

Author

Lück, Wolfgang, Macko, Tibor, Chenciner, Alain, Editor-in-Chief, Varadhan, S.R.S., Editor-in-Chief, Darmon, Henri, Series Editor, de la Harpe, Pierre, Series Editor, den Hollander, Frank, Series Editor, Hitchin, Nigel J., Series Editor, Joshi, Nalini, Series Editor, Kupiainen, Antti, Series Editor, Lebeau, Gilles, Series Editor, Le Gall, Jean-François, Series Editor, Lin, Fang-Hua, Series Editor, Mori, Shigefumi, Series Editor, Ngô, Bảo Châu, Series Editor, Serre, Denis, Series Editor, Waldschmidt, Michel, Series Editor, Lück, Wolfgang, Macko, Tibor, and Crowley, Diarmuid, With Contrib. by

Published
2024
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26. The Spivak Normal Structure

Author

Lück, Wolfgang, Macko, Tibor, Chenciner, Alain, Editor-in-Chief, Varadhan, S.R.S., Editor-in-Chief, Darmon, Henri, Series Editor, de la Harpe, Pierre, Series Editor, den Hollander, Frank, Series Editor, Hitchin, Nigel J., Series Editor, Joshi, Nalini, Series Editor, Kupiainen, Antti, Series Editor, Lebeau, Gilles, Series Editor, Le Gall, Jean-François, Series Editor, Lin, Fang-Hua, Series Editor, Mori, Shigefumi, Series Editor, Ngô, Bảo Châu, Series Editor, Serre, Denis, Series Editor, Waldschmidt, Michel, Series Editor, Lück, Wolfgang, Macko, Tibor, and Crowley, Diarmuid, With Contrib. by

Published
2024
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27. Whitehead Torsion

Author

Lück, Wolfgang, Macko, Tibor, Chenciner, Alain, Editor-in-Chief, Varadhan, S.R.S., Editor-in-Chief, Darmon, Henri, Series Editor, de la Harpe, Pierre, Series Editor, den Hollander, Frank, Series Editor, Hitchin, Nigel J., Series Editor, Joshi, Nalini, Series Editor, Kupiainen, Antti, Series Editor, Lebeau, Gilles, Series Editor, Le Gall, Jean-François, Series Editor, Lin, Fang-Hua, Series Editor, Mori, Shigefumi, Series Editor, Ngô, Bảo Châu, Series Editor, Serre, Denis, Series Editor, Waldschmidt, Michel, Series Editor, Lück, Wolfgang, Macko, Tibor, and Crowley, Diarmuid, With Contrib. by

Published
2024
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28. Poincaré Duality

Author

Lück, Wolfgang, Macko, Tibor, Chenciner, Alain, Editor-in-Chief, Varadhan, S.R.S., Editor-in-Chief, Darmon, Henri, Series Editor, de la Harpe, Pierre, Series Editor, den Hollander, Frank, Series Editor, Hitchin, Nigel J., Series Editor, Joshi, Nalini, Series Editor, Kupiainen, Antti, Series Editor, Lebeau, Gilles, Series Editor, Le Gall, Jean-François, Series Editor, Lin, Fang-Hua, Series Editor, Mori, Shigefumi, Series Editor, Ngô, Bảo Châu, Series Editor, Serre, Denis, Series Editor, Waldschmidt, Michel, Series Editor, Lück, Wolfgang, Macko, Tibor, and Crowley, Diarmuid, With Contrib. by

Published
2024
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29. Solutions of the Exercises

Author

Lück, Wolfgang, Macko, Tibor, Chenciner, Alain, Editor-in-Chief, Varadhan, S.R.S., Editor-in-Chief, Darmon, Henri, Series Editor, de la Harpe, Pierre, Series Editor, den Hollander, Frank, Series Editor, Hitchin, Nigel J., Series Editor, Joshi, Nalini, Series Editor, Kupiainen, Antti, Series Editor, Lebeau, Gilles, Series Editor, Le Gall, Jean-François, Series Editor, Lin, Fang-Hua, Series Editor, Mori, Shigefumi, Series Editor, Ngô, Bảo Châu, Series Editor, Serre, Denis, Series Editor, Waldschmidt, Michel, Series Editor, Lück, Wolfgang, Macko, Tibor, and Crowley, Diarmuid, With Contrib. by

Published
2024
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30. The Surgery Step and ξ-Bordism

Author

Lück, Wolfgang, Macko, Tibor, Chenciner, Alain, Editor-in-Chief, Varadhan, S.R.S., Editor-in-Chief, Darmon, Henri, Series Editor, de la Harpe, Pierre, Series Editor, den Hollander, Frank, Series Editor, Hitchin, Nigel J., Series Editor, Joshi, Nalini, Series Editor, Kupiainen, Antti, Series Editor, Lebeau, Gilles, Series Editor, Le Gall, Jean-François, Series Editor, Lin, Fang-Hua, Series Editor, Mori, Shigefumi, Series Editor, Ngô, Bảo Châu, Series Editor, Serre, Denis, Series Editor, Waldschmidt, Michel, Series Editor, Lück, Wolfgang, Macko, Tibor, and Crowley, Diarmuid, With Contrib. by

Published
2024
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31. Computations of Topological Structure Sets of some Prominent Closed Manifolds

Author

Lück, Wolfgang, Macko, Tibor, Chenciner, Alain, Editor-in-Chief, Varadhan, S.R.S., Editor-in-Chief, Darmon, Henri, Series Editor, de la Harpe, Pierre, Series Editor, den Hollander, Frank, Series Editor, Hitchin, Nigel J., Series Editor, Joshi, Nalini, Series Editor, Kupiainen, Antti, Series Editor, Lebeau, Gilles, Series Editor, Le Gall, Jean-François, Series Editor, Lin, Fang-Hua, Series Editor, Mori, Shigefumi, Series Editor, Ngô, Bảo Châu, Series Editor, Serre, Denis, Series Editor, Waldschmidt, Michel, Series Editor, Lück, Wolfgang, Macko, Tibor, and Crowley, Diarmuid, With Contrib. by

Published
2024
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32. The s-Cobordism Theorem

Author

Lück, Wolfgang, Macko, Tibor, Chenciner, Alain, Editor-in-Chief, Varadhan, S.R.S., Editor-in-Chief, Darmon, Henri, Series Editor, de la Harpe, Pierre, Series Editor, den Hollander, Frank, Series Editor, Hitchin, Nigel J., Series Editor, Joshi, Nalini, Series Editor, Kupiainen, Antti, Series Editor, Lebeau, Gilles, Series Editor, Le Gall, Jean-François, Series Editor, Lin, Fang-Hua, Series Editor, Mori, Shigefumi, Series Editor, Ngô, Bảo Châu, Series Editor, Serre, Denis, Series Editor, Waldschmidt, Michel, Series Editor, Lück, Wolfgang, Macko, Tibor, and Crowley, Diarmuid, With Contrib. by

Published
2024
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33. Modified Surgery

Author

Lück, Wolfgang, Macko, Tibor, Chenciner, Alain, Editor-in-Chief, Varadhan, S.R.S., Editor-in-Chief, Darmon, Henri, Series Editor, de la Harpe, Pierre, Series Editor, den Hollander, Frank, Series Editor, Hitchin, Nigel J., Series Editor, Joshi, Nalini, Series Editor, Kupiainen, Antti, Series Editor, Lebeau, Gilles, Series Editor, Le Gall, Jean-François, Series Editor, Lin, Fang-Hua, Series Editor, Mori, Shigefumi, Series Editor, Ngô, Bảo Châu, Series Editor, Serre, Denis, Series Editor, Waldschmidt, Michel, Series Editor, Lück, Wolfgang, Macko, Tibor, and Crowley, Diarmuid, With Contrib. by

Published
2024
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34. Introduction

Author

Lück, Wolfgang, Macko, Tibor, Chenciner, Alain, Editor-in-Chief, Varadhan, S.R.S., Editor-in-Chief, Darmon, Henri, Series Editor, de la Harpe, Pierre, Series Editor, den Hollander, Frank, Series Editor, Hitchin, Nigel J., Series Editor, Joshi, Nalini, Series Editor, Kupiainen, Antti, Series Editor, Lebeau, Gilles, Series Editor, Le Gall, Jean-François, Series Editor, Lin, Fang-Hua, Series Editor, Mori, Shigefumi, Series Editor, Ngô, Bảo Châu, Series Editor, Serre, Denis, Series Editor, Waldschmidt, Michel, Series Editor, Lück, Wolfgang, Macko, Tibor, and Crowley, Diarmuid, With Contrib. by

Published
2024
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35. Brief Survey of Computations of L-Groups

Author

Lück, Wolfgang, Macko, Tibor, Chenciner, Alain, Editor-in-Chief, Varadhan, S.R.S., Editor-in-Chief, Darmon, Henri, Series Editor, de la Harpe, Pierre, Series Editor, den Hollander, Frank, Series Editor, Hitchin, Nigel J., Series Editor, Joshi, Nalini, Series Editor, Kupiainen, Antti, Series Editor, Lebeau, Gilles, Series Editor, Le Gall, Jean-François, Series Editor, Lin, Fang-Hua, Series Editor, Mori, Shigefumi, Series Editor, Ngô, Bảo Châu, Series Editor, Serre, Denis, Series Editor, Waldschmidt, Michel, Series Editor, Lück, Wolfgang, Macko, Tibor, and Crowley, Diarmuid, With Contrib. by

Published
2024
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36. Topological Rigidity

Author

Lück, Wolfgang, Macko, Tibor, Chenciner, Alain, Editor-in-Chief, Varadhan, S.R.S., Editor-in-Chief, Darmon, Henri, Series Editor, de la Harpe, Pierre, Series Editor, den Hollander, Frank, Series Editor, Hitchin, Nigel J., Series Editor, Joshi, Nalini, Series Editor, Kupiainen, Antti, Series Editor, Lebeau, Gilles, Series Editor, Le Gall, Jean-François, Series Editor, Lin, Fang-Hua, Series Editor, Mori, Shigefumi, Series Editor, Ngô, Bảo Châu, Series Editor, Serre, Denis, Series Editor, Waldschmidt, Michel, Series Editor, Lück, Wolfgang, Macko, Tibor, and Crowley, Diarmuid, With Contrib. by

Published
2024
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37. The Homotopy Type of G/TOP, G/PL and G/O

Author

Lück, Wolfgang, Macko, Tibor, Chenciner, Alain, Editor-in-Chief, Varadhan, S.R.S., Editor-in-Chief, Darmon, Henri, Series Editor, de la Harpe, Pierre, Series Editor, den Hollander, Frank, Series Editor, Hitchin, Nigel J., Series Editor, Joshi, Nalini, Series Editor, Kupiainen, Antti, Series Editor, Lebeau, Gilles, Series Editor, Le Gall, Jean-François, Series Editor, Lin, Fang-Hua, Series Editor, Mori, Shigefumi, Series Editor, Ngô, Bảo Châu, Series Editor, Serre, Denis, Series Editor, Waldschmidt, Michel, Series Editor, Lück, Wolfgang, Macko, Tibor, and Crowley, Diarmuid, With Contrib. by

Published
2024
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38. Algebraic Surgery

Author

Lück, Wolfgang, Macko, Tibor, Chenciner, Alain, Editor-in-Chief, Varadhan, S.R.S., Editor-in-Chief, Darmon, Henri, Series Editor, de la Harpe, Pierre, Series Editor, den Hollander, Frank, Series Editor, Hitchin, Nigel J., Series Editor, Joshi, Nalini, Series Editor, Kupiainen, Antti, Series Editor, Lebeau, Gilles, Series Editor, Le Gall, Jean-François, Series Editor, Lin, Fang-Hua, Series Editor, Mori, Shigefumi, Series Editor, Ngô, Bảo Châu, Series Editor, Serre, Denis, Series Editor, Waldschmidt, Michel, Series Editor, Lück, Wolfgang, Macko, Tibor, and Crowley, Diarmuid, With Contrib. by

Published
2024
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39. The Geometric Surgery Obstruction Group and Surgery Obstruction

Author

Lück, Wolfgang, Macko, Tibor, Chenciner, Alain, Editor-in-Chief, Varadhan, S.R.S., Editor-in-Chief, Darmon, Henri, Series Editor, de la Harpe, Pierre, Series Editor, den Hollander, Frank, Series Editor, Hitchin, Nigel J., Series Editor, Joshi, Nalini, Series Editor, Kupiainen, Antti, Series Editor, Lebeau, Gilles, Series Editor, Le Gall, Jean-François, Series Editor, Lin, Fang-Hua, Series Editor, Mori, Shigefumi, Series Editor, Ngô, Bảo Châu, Series Editor, Serre, Denis, Series Editor, Waldschmidt, Michel, Series Editor, Lück, Wolfgang, Macko, Tibor, and Crowley, Diarmuid, With Contrib. by

Published
2024
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40. Chain Complexes

Author

Lück, Wolfgang, Macko, Tibor, Chenciner, Alain, Editor-in-Chief, Varadhan, S.R.S., Editor-in-Chief, Darmon, Henri, Series Editor, de la Harpe, Pierre, Series Editor, den Hollander, Frank, Series Editor, Hitchin, Nigel J., Series Editor, Joshi, Nalini, Series Editor, Kupiainen, Antti, Series Editor, Lebeau, Gilles, Series Editor, Le Gall, Jean-François, Series Editor, Lin, Fang-Hua, Series Editor, Mori, Shigefumi, Series Editor, Ngô, Bảo Châu, Series Editor, Serre, Denis, Series Editor, Waldschmidt, Michel, Series Editor, Lück, Wolfgang, Macko, Tibor, and Crowley, Diarmuid, With Contrib. by

Published
2024
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41. Decorations and the Simple Surgery Obstruction

Author

Lück, Wolfgang, Macko, Tibor, Chenciner, Alain, Editor-in-Chief, Varadhan, S.R.S., Editor-in-Chief, Darmon, Henri, Series Editor, de la Harpe, Pierre, Series Editor, den Hollander, Frank, Series Editor, Hitchin, Nigel J., Series Editor, Joshi, Nalini, Series Editor, Kupiainen, Antti, Series Editor, Lebeau, Gilles, Series Editor, Le Gall, Jean-François, Series Editor, Lin, Fang-Hua, Series Editor, Mori, Shigefumi, Series Editor, Ngô, Bảo Châu, Series Editor, Serre, Denis, Series Editor, Waldschmidt, Michel, Series Editor, Lück, Wolfgang, Macko, Tibor, and Crowley, Diarmuid, With Contrib. by

Published
2024
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42. The Geometric Surgery Exact Sequence

Author

Lück, Wolfgang, Macko, Tibor, Chenciner, Alain, Editor-in-Chief, Varadhan, S.R.S., Editor-in-Chief, Darmon, Henri, Series Editor, de la Harpe, Pierre, Series Editor, den Hollander, Frank, Series Editor, Hitchin, Nigel J., Series Editor, Joshi, Nalini, Series Editor, Kupiainen, Antti, Series Editor, Lebeau, Gilles, Series Editor, Le Gall, Jean-François, Series Editor, Lin, Fang-Hua, Series Editor, Mori, Shigefumi, Series Editor, Ngô, Bảo Châu, Series Editor, Serre, Denis, Series Editor, Waldschmidt, Michel, Series Editor, Lück, Wolfgang, Macko, Tibor, and Crowley, Diarmuid, With Contrib. by

Published
2024
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43. Complex Geometry

Author

López de Medrano, Santiago, Chenciner, Alain, Editor-in-Chief, Varadhan, S.R.S., Editor-in-Chief, Darmon, Henri, Series Editor, de la Harpe, Pierre, Series Editor, den Hollander, Frank, Series Editor, Hitchin, Nigel J., Series Editor, Joshi, Nalini, Series Editor, Kupiainen, Antti, Series Editor, Lebeau, Gilles, Series Editor, Le Gall, Jean-François, Series Editor, Lin, Fang-Hua, Series Editor, Mori, Shigefumi, Series Editor, Ngô, Bảo Châu, Series Editor, Serre, Denis, Series Editor, Waldschmidt, Michel, Series Editor, and López de Medrano, Santiago

Published
2023
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44. A Family of Surfaces That Are Intersections of Concentric, Non-Coaxial, Ellipsoids

Author

López de Medrano, Santiago, Chenciner, Alain, Editor-in-Chief, Varadhan, S.R.S., Editor-in-Chief, Darmon, Henri, Series Editor, de la Harpe, Pierre, Series Editor, den Hollander, Frank, Series Editor, Hitchin, Nigel J., Series Editor, Joshi, Nalini, Series Editor, Kupiainen, Antti, Series Editor, Lebeau, Gilles, Series Editor, Le Gall, Jean-François, Series Editor, Lin, Fang-Hua, Series Editor, Mori, Shigefumi, Series Editor, Ngô, Bảo Châu, Series Editor, Serre, Denis, Series Editor, Waldschmidt, Michel, Series Editor, and López de Medrano, Santiago

Published
2023
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45. Appendix B Origins

Author

López de Medrano, Santiago, Chenciner, Alain, Editor-in-Chief, Varadhan, S.R.S., Editor-in-Chief, Darmon, Henri, Series Editor, de la Harpe, Pierre, Series Editor, den Hollander, Frank, Series Editor, Hitchin, Nigel J., Series Editor, Joshi, Nalini, Series Editor, Kupiainen, Antti, Series Editor, Lebeau, Gilles, Series Editor, Le Gall, Jean-François, Series Editor, Lin, Fang-Hua, Series Editor, Mori, Shigefumi, Series Editor, Ngô, Bảo Châu, Series Editor, Serre, Denis, Series Editor, Waldschmidt, Michel, Series Editor, and López de Medrano, Santiago

Published
2023
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46. Appendix C Complements of Products of Spheres in Spheres

Author

López de Medrano, Santiago, Chenciner, Alain, Editor-in-Chief, Varadhan, S.R.S., Editor-in-Chief, Darmon, Henri, Series Editor, de la Harpe, Pierre, Series Editor, den Hollander, Frank, Series Editor, Hitchin, Nigel J., Series Editor, Joshi, Nalini, Series Editor, Kupiainen, Antti, Series Editor, Lebeau, Gilles, Series Editor, Le Gall, Jean-François, Series Editor, Lin, Fang-Hua, Series Editor, Mori, Shigefumi, Series Editor, Ngô, Bảo Châu, Series Editor, Serre, Denis, Series Editor, Waldschmidt, Michel, Series Editor, and López de Medrano, Santiago

Published
2023
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47. Intersections with Dihedral Symmetry

Author

López de Medrano, Santiago, Chenciner, Alain, Editor-in-Chief, Varadhan, S.R.S., Editor-in-Chief, Darmon, Henri, Series Editor, de la Harpe, Pierre, Series Editor, den Hollander, Frank, Series Editor, Hitchin, Nigel J., Series Editor, Joshi, Nalini, Series Editor, Kupiainen, Antti, Series Editor, Lebeau, Gilles, Series Editor, Le Gall, Jean-François, Series Editor, Lin, Fang-Hua, Series Editor, Mori, Shigefumi, Series Editor, Ngô, Bảo Châu, Series Editor, Serre, Denis, Series Editor, Waldschmidt, Michel, Series Editor, and López de Medrano, Santiago

Published
2023
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48. Appendix D Diagonalizability of Matrices

Author

López de Medrano, Santiago, Chenciner, Alain, Editor-in-Chief, Varadhan, S.R.S., Editor-in-Chief, Darmon, Henri, Series Editor, de la Harpe, Pierre, Series Editor, den Hollander, Frank, Series Editor, Hitchin, Nigel J., Series Editor, Joshi, Nalini, Series Editor, Kupiainen, Antti, Series Editor, Lebeau, Gilles, Series Editor, Le Gall, Jean-François, Series Editor, Lin, Fang-Hua, Series Editor, Mori, Shigefumi, Series Editor, Ngô, Bảo Châu, Series Editor, Serre, Denis, Series Editor, Waldschmidt, Michel, Series Editor, and López de Medrano, Santiago

Published
2023
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49. Appendix A Proof of Theorem 2.1

Author

López de Medrano, Santiago, Chenciner, Alain, Editor-in-Chief, Varadhan, S.R.S., Editor-in-Chief, Darmon, Henri, Series Editor, de la Harpe, Pierre, Series Editor, den Hollander, Frank, Series Editor, Hitchin, Nigel J., Series Editor, Joshi, Nalini, Series Editor, Kupiainen, Antti, Series Editor, Lebeau, Gilles, Series Editor, Le Gall, Jean-François, Series Editor, Lin, Fang-Hua, Series Editor, Mori, Shigefumi, Series Editor, Ngô, Bảo Châu, Series Editor, Serre, Denis, Series Editor, Waldschmidt, Michel, Series Editor, and López de Medrano, Santiago

Published
2023
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50. More Than Three Coaxial Ellipsoids

Author

López de Medrano, Santiago, Chenciner, Alain, Editor-in-Chief, Varadhan, S.R.S., Editor-in-Chief, Darmon, Henri, Series Editor, de la Harpe, Pierre, Series Editor, den Hollander, Frank, Series Editor, Hitchin, Nigel J., Series Editor, Joshi, Nalini, Series Editor, Kupiainen, Antti, Series Editor, Lebeau, Gilles, Series Editor, Le Gall, Jean-François, Series Editor, Lin, Fang-Hua, Series Editor, Mori, Shigefumi, Series Editor, Ngô, Bảo Châu, Series Editor, Serre, Denis, Series Editor, Waldschmidt, Michel, Series Editor, and López de Medrano, Santiago

Published
2023
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