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182 results on '"FATÈS, NAZIM"'

1. Asynchronous Cellular Systems that Solve the Parity Problem

Author

Fatès, Nazim, Goos, Gerhard, Series Editor, Hartmanis, Juris, Founding Editor, Bertino, Elisa, Editorial Board Member, Gao, Wen, Editorial Board Member, Steffen, Bernhard, Editorial Board Member, Yung, Moti, Editorial Board Member, Gadouleau, Maximilien, editor, and Castillo-Ramirez, Alonso, editor

Published
2024
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4. Self-stabilisation of cellular automata on tilings

Author

Fatès, Nazim, Marcovici, Irène, and Taati, Siamak

Subjects
Nonlinear Sciences - Cellular Automata and Lattice Gases, Computer Science - Distributed, Parallel, and Cluster Computing, Mathematics - Probability
Abstract

Given a finite set of local constraints, we seek a cellular automaton (i.e., a local and uniform algorithm) that self-stabilises on the configurations that satisfy these constraints. More precisely, starting from a finite perturbation of a valid configuration, the cellular automaton must eventually fall back into the space of valid configurations where it remains still. We allow the cellular automaton to use extra symbols, but in that case, the extra symbols can also appear in the initial finite perturbation. For several classes of local constraints (e.g., $k$-colourings with $k\neq 3$, and North-East deterministic constraints), we provide efficient self-stabilising cellular automata with or without additional symbols that wash out finite perturbations in linear or quadratic time, but also show that there are examples of local constraints for which the self-stabilisation problem is inherently hard. We note that the optimal self-stabilisation speed is the same for all local constraints that are isomorphic to one another. We also consider probabilistic cellular automata rules and show that in some cases, the use of randomness simplifies the problem. In the deterministic case, we show that if finite perturbations are corrected in linear time, then the cellular automaton self-stabilises even starting from a random perturbation of a valid configuration, that is, when errors in the initial configuration occur independently with a sufficiently low density., Comment: 56 pages, 28 figures

Published
2021
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5. A Decentralised Diagnosis Method with Probabilistic Cellular Automata

Author

Fatès, Nazim, Marchand, Régine, Marcovici, Irène, Goos, Gerhard, Founding Editor, Hartmanis, Juris, Founding Editor, Bertino, Elisa, Editorial Board Member, Gao, Wen, Editorial Board Member, Steffen, Bernhard, Editorial Board Member, Yung, Moti, Editorial Board Member, Manzoni, Luca, editor, Mariot, Luca, editor, and Roy Chowdhury, Dipanwita, editor

Published
2023
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7. Amoebae for Clustering: A Bio-Inspired Cellular Automata Method for Data Classification

Author

Saint-Jore, Amaury, Fatès, Nazim, Jeandel, Emmanuel, Zelinka, Ivan, Series Editor, Adamatzky, Andrew, Series Editor, Chen, Guanrong, Series Editor, Abraham, Ajith, Editorial Board Member, Lucia, Ana, Editorial Board Member, Burguillo, Juan C., Editorial Board Member, Čelikovský, Sergej, Editorial Board Member, Chadli, Mohammed, Editorial Board Member, Corchado, Emilio, Editorial Board Member, Davendra, Donald, Editorial Board Member, Ilachinski, Andrew, Editorial Board Member, Lampinen, Jouni, Editorial Board Member, Middendorf, Martin, Editorial Board Member, Ott, Edward, Editorial Board Member, Pan, Linqiang, Editorial Board Member, Păun, Gheorghe, Editorial Board Member, Richter, Hendrik, Editorial Board Member, Rodriguez-Aguilar, Juan A., Editorial Board Member, Rössler, Otto, Editorial Board Member, Snasel, Vaclav, Editorial Board Member, Vondrák, Ivo, Editorial Board Member, and Zenil, Hector, Editorial Board Member

Published
2022
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9. Two-dimensional traffic rules and the density classification problem

Author

Fatès, Nazim, Marcovici, Irène, and Taati, Siamak

Subjects
Nonlinear Sciences - Cellular Automata and Lattice Gases
Abstract

The density classification problem is the computational problem of finding the majority in a given array of votes in a distributed fashion. It is known that no cellular automaton rule with binary alphabet can solve the density classification problem. On the other hand, it was shown that a probabilistic mixture of the traffic rule and the majority rule solves the one-dimensional problem correctly with a probability arbitrarily close to one. We investigate the possibility of a similar approach in two dimensions. We show that in two dimensions, the particle spacing problem, which is solved in one dimension by the traffic rule, has no cellular automaton solution. However, we propose exact and randomized solutions via interacting particle systems. We assess the performance of our models using numeric simulations., Comment: To appear in the proceedings of Automata 2016 http://automata2016.ini.uzh.ch/

Published
2016

11. Cellular Automata for the Self-stabilisation of Colourings and Tilings

Author

Fatès, Nazim, Marcovici, Irène, Taati, Siamak, Goos, Gerhard, Founding Editor, Hartmanis, Juris, Founding Editor, Bertino, Elisa, Editorial Board Member, Gao, Wen, Editorial Board Member, Steffen, Bernhard, Editorial Board Member, Woeginger, Gerhard, Editorial Board Member, Yung, Moti, Editorial Board Member, Filiot, Emmanuel, editor, Jungers, Raphaël, editor, and Potapov, Igor, editor

Published
2019
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12. A guided tour of asynchronous cellular automata

Author

Fatès, Nazim

Subjects
Nonlinear Sciences - Cellular Automata and Lattice Gases
Abstract

Research on asynchronous cellular automata has received a great amount of attention these last years and has turned to a thriving field. We survey the recent research that has been carried out on this topic and present a wide state of the art where computing and modelling issues are both represented., Comment: To appear in the Journal of Cellular Automata

Published
2014

13. Local structure approximation as a predictor of second order phase transitions in asynchronous cellular automata

Author

Fukś, Henryk and Fatès, Nazim

Subjects
Nonlinear Sciences - Cellular Automata and Lattice Gases
Abstract

We show that local structure approximation of sufficiently high order can predict the existence of second order phase transitions belonging to the directed percolation university class in $\alpha$-asynchronous cellular automata., Comment: 20 pages, 6 figures

Published
2013
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18. A Pedagogical Example: A Family of Stochastic Cellular Automata that Plays Alesia

Author

Fatès, Nazim, Hutchison, David, Series Editor, Kanade, Takeo, Series Editor, Kittler, Josef, Series Editor, Kleinberg, Jon M., Series Editor, Mattern, Friedemann, Series Editor, Mitchell, John C., Series Editor, Naor, Moni, Series Editor, Pandu Rangan, C., Series Editor, Steffen, Bernhard, Series Editor, Terzopoulos, Demetri, Series Editor, Tygar, Doug, Series Editor, Weikum, Gerhard, Series Editor, Mauri, Giancarlo, editor, El Yacoubi, Samira, editor, Dennunzio, Alberto, editor, Nishinari, Katsuhiro, editor, and Manzoni, Luca, editor

Published
2018
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19. Density classification on infinite lattices and trees

Author

Busic, Ana, Fates, Nazim, Mairesse, Jean, and Marcovici, Irene

Subjects
Mathematics - Probability, Computer Science - Discrete Mathematics, Nonlinear Sciences - Cellular Automata and Lattice Gases
Abstract

Consider an infinite graph with nodes initially labeled by independent Bernoulli random variables of parameter p. We address the density classification problem, that is, we want to design a (probabilistic or deterministic) cellular automaton or a finite-range interacting particle system that evolves on this graph and decides whether p is smaller or larger than 1/2. Precisely, the trajectories should converge to the uniform configuration with only 0's if p<1/2, and only 1's if p>1/2. We present solutions to that problem on the d-dimensional lattice, for any d>1, and on the regular infinite trees. For Z, we propose some candidates that we back up with numerical simulations.

Published
2011

20. Asynchronism Induces Second Order Phase Transitions in Elementary Cellular Automata

Author

Fatès, Nazim A.

Subjects
Nonlinear Sciences - Cellular Automata and Lattice Gases
Abstract

Cellular automata are widely used to model natural or artificial systems. Classically they are run with perfect synchrony, i.e., the local rule is applied to each cell at each time step. A possible modification of the updating scheme consists in applying the rule with a fixed probability, called the synchrony rate. For some particular rules, varying the synchrony rate continuously produces a qualitative change in the behaviour of the cellular automaton. We investigate the nature of this change of behaviour using Monte-Carlo simulations. We show that this phenomenon is a second-order phase transition, which we characterise more specifically as belonging to the directed percolation or to the parity conservation universality classes studied in statistical physics.

Published
2007

21. Diploid Cellular Automata: First Experiments on the Random Mixtures of Two Elementary Rules

Author

Fatès, Nazim, Hutchison, David, Series editor, Kanade, Takeo, Series editor, Kittler, Josef, Series editor, Kleinberg, Jon M., Series editor, Mattern, Friedemann, Series editor, Mitchell, John C., Series editor, Naor, Moni, Series editor, Pandu Rangan, C., Series editor, Steffen, Bernhard, Series editor, Terzopoulos, Demetri, Series editor, Tygar, Doug, Series editor, Weikum, Gerhard, Series editor, Dennunzio, Alberto, editor, Formenti, Enrico, editor, Manzoni, Luca, editor, and Porreca, Antonio E., editor

Published
2017
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22. Perturbing the topology of the Game of Life increases its robustness to asynchrony

Author

Fates, Nazim A. and Morvan, Michel

Subjects
Nonlinear Sciences - Cellular Automata and Lattice Gases
Abstract

An experimental analysis of the asynchronous version of the "Game of Life" is performed to estimate how topology perturbations modify its evolution. We focus on the study of a phase transition from an "inactive-sparse phase" to a "labyrinth phase" and produce experimental data to quantify these changes as a function of the density of the initial configuration, the value of the synchrony rate, and the topology missing-link rate. An interpretation of the experimental results is given using the hypothesis that initial "germs" colonize the whole lattice and the validity of this hypothesis is tested., Comment: Submitted to ACRI 2004

Published
2004
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23. An Experimental Study of Robustness to Asynchronism for Elementary Cellular Automata

Author

Fates, Nazim A. and Morvan, Michel

Subjects
Nonlinear Sciences - Cellular Automata and Lattice Gases
Abstract

Cellular Automata (CA) are a class of discrete dynamical systems that have been widely used to model complex systems in which the dynamics is specified at local cell-scale. Classically, CA are run on a regular lattice and with perfect synchronicity. However, these two assumptions have little chance to truthfully represent what happens at the microscopic scale for physical, biological or social systems. One may thus wonder whether CA do keep their behavior when submitted to small perturbations of synchronicity. This work focuses on the study of one-dimensional (1D) asynchronous CA with two states and nearest-neighbors. We define what we mean by ``the behavior of CA is robust to asynchronism'' using a statistical approach with macroscopic parameters. and we present an experimental protocol aimed at finding which are the robust 1D elementary CA. To conclude, we examine how the results exposed can be used as a guideline for the research of suitable models according to robustness criteria., Comment: Version : Feb 13th, 2004, submitted to Complex Systems

Published
2004

25. Collective Infotaxis with Reactive Amoebae: A Note on a Simple Bio-inspired Mechanism

Author

Fatès, Nazim, Hutchison, David, Series editor, Kanade, Takeo, Series editor, Kittler, Josef, Series editor, Kleinberg, Jon M., Series editor, Mattern, Friedemann, Series editor, Mitchell, John C., Series editor, Naor, Moni, Series editor, Pandu Rangan, C., Series editor, Steffen, Bernhard, Series editor, Terzopoulos, Demetri, Series editor, Tygar, Doug, Series editor, Weikum, Gerhard, Series editor, El Yacoubi, Samira, editor, Wąs, Jaroslaw, editor, and Bandini, Stefania, editor

Published
2016
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26. Remarks on the Cellular Automaton Global Synchronisation Problem

Author

Fatès, Nazim, Hutchison, David, Series editor, Kanade, Takeo, Series editor, Kittler, Josef, Series editor, Kleinberg, Jon M., Series editor, Mattern, Friedemann, Series editor, Mitchell, John C., Series editor, Naor, Moni, Series editor, Pandu Rangan, C., Series editor, Steffen, Bernhard, Series editor, Terzopoulos, Demetri, Series editor, Tygar, Doug, Series editor, Weikum, Gerhard, Series editor, and Kari, Jarkko, editor

Published
2015
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28. Quick Convergence to a Fixed Point: A Note on Asynchronous Elementary Cellular Automata

Author

Fatès, Nazim, Hutchison, David, Series editor, Kanade, Takeo, Series editor, Kittler, Josef, Series editor, Kleinberg, Jon M., Series editor, Kobsa, Alfred, Series editor, Mattern, Friedemann, Series editor, Mitchell, John C., Series editor, Naor, Moni, Series editor, Nierstrasz, Oscar, Series editor, Pandu Rangan, C., Series editor, Steffen, Bernhard, Series editor, Terzopoulos, Demetri, Series editor, Tygar, Doug, Series editor, Weikum, Gerhard, Series editor, Wąs, Jarosław, editor, Sirakoulis, Georgios Ch., editor, and Bandini, Stefania, editor

Published
2014
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29. Bifurcations of Local Structure Maps as Predictors of Phase Transitions in Asynchronous Cellular Automata

Author

Fukś, Henryk, Fatès, Nazim, Hutchison, David, Series editor, Kanade, Takeo, Series editor, Kittler, Josef, Series editor, Kleinberg, Jon M., Series editor, Kobsa, Alfred, Series editor, Mattern, Friedemann, Series editor, Mitchell, John C., Series editor, Naor, Moni, Series editor, Nierstrasz, Oscar, Series editor, Pandu Rangan, C., Series editor, Steffen, Bernhard, Series editor, Terzopoulos, Demetri, Series editor, Tygar, Doug, Series editor, Weikum, Gerhard, Series editor, Wąs, Jarosław, editor, Sirakoulis, Georgios Ch., editor, and Bandini, Stefania, editor

Published
2014
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30. Reversibility of Elementary Cellular Automata under Fully Asynchronous Update

Author

Sethi, Biswanath, Fatès, Nazim, Das, Sukanta, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Kobsa, Alfred, editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Terzopoulos, Demetri, editor, Tygar, Doug, editor, Weikum, Gerhard, editor, Gopal, T. V., editor, Agrawal, Manindra, editor, Li, Angsheng, editor, and Cooper, S. Barry, editor

Published
2014
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34. A Robustness Approach to Study Metastable Behaviours in a Lattice-Gas Model of Swarming

Author

Bouré, Olivier, Fatès, Nazim, Chevrier, Vincent, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Doug, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Kari, Jarkko, editor, Kutrib, Martin, editor, and Malcher, Andreas, editor

Published
2013
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35. A Guided Tour of Asynchronous Cellular Automata

Author

Fatès, Nazim, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Doug, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Kari, Jarkko, editor, Kutrib, Martin, editor, and Malcher, Andreas, editor

Published
2013
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36. A Note on the Classification of the Most Simple Asynchronous Cellular Automata

Author

Fatès, Nazim, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Doug, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Kari, Jarkko, editor, Kutrib, Martin, editor, and Malcher, Andreas, editor

Published
2013
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37. First Steps on Asynchronous Lattice-Gas Models with an Application to a Swarming Rule

Author

Bouré, Olivier, Fatès, Nazim, Chevrier, Vincent, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Doug, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Sirakoulis, Georgios Ch., editor, and Bandini, Stefania, editor

Published
2012
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38. Density Classification on Infinite Lattices and Trees

Author

Bušić, Ana, Fatès, Nazim, Mairesse, Jean, Marcovici, Irène, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Doug, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, and Fernández-Baca, David, editor

Published
2012
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39. Robustness of Cellular Automata in the Light of Asynchronous Information Transmission

Author

Bouré, Olivier, Fatès, Nazim, Chevrier, Vincent, Hutchison, David, Series editor, Kanade, Takeo, Series editor, Kittler, Josef, Series editor, Kleinberg, Jon M., Series editor, Mattern, Friedemann, Series editor, Mitchell, John C., Series editor, Naor, Moni, Series editor, Nierstrasz, Oscar, Series editor, Pandu Rangan, C., Series editor, Steffen, Bernhard, Series editor, Sudan, Madhu, Series editor, Terzopoulos, Demetri, Series editor, Tygar, Doug, Series editor, Vardi, Moshe Y., Series editor, Weikum, Gerhard, Series editor, Calude, Cristian S., editor, Kari, Jarkko, editor, Petre, Ion, editor, and Rozenberg, Grzegorz, editor

Published
2011
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43. Examples of Fast and Slow Convergence of 2D Asynchronous Cellular Systems

Author

Fatès, Nazim, Gerin, Lucas, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Doug, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Umeo, Hiroshi, editor, Morishita, Shin, editor, Nishinari, Katsuhiro, editor, Komatsuzaki, Toshihiko, editor, and Bandini, Stefania, editor

Published
2008
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44. The economics and algorithmics of an integral settlement procedure on B2B network

Author

Fatès, Nazim, Amato, Massimo, Gobbi, Lucio, Designing the Future of Computational Models (MOCQUA), Inria Nancy - Grand Est, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Department of Formal Methods (LORIA - FM), Laboratoire Lorrain de Recherche en Informatique et ses Applications (LORIA), Institut National de Recherche en Informatique et en Automatique (Inria)-Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS)-Institut National de Recherche en Informatique et en Automatique (Inria)-Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS)-Laboratoire Lorrain de Recherche en Informatique et ses Applications (LORIA), Institut National de Recherche en Informatique et en Automatique (Inria)-Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS)-Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS), Bocconi University [Milan, Italy], University of Trento [Trento], and Fatès, Nazim

Subjects
[INFO.INFO-RO] Computer Science [cs]/Operations Research [cs.RO], [QFIN.CP] Quantitative Finance [q-fin]/Computational Finance [q-fin.CP], [INFO.INFO-RO]Computer Science [cs]/Operations Research [cs.RO], [QFIN.CP]Quantitative Finance [q-fin]/Computational Finance [q-fin.CP]
Abstract

preprint available on SSRN

Published
2021

46. Directed Percolation Phenomena in Asynchronous Elementary Cellular Automata

Author

Fatès, Nazim, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Dough, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, El Yacoubi, Samira, editor, Chopard, Bastien, editor, and Bandini, Stefania, editor

Published
2006
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47. Asynchronous Behavior of Double-Quiescent Elementary Cellular Automata

Author

Fatès, Nazim, Regnault, Damien, Schabanel, Nicolas, Thierry, Éric, Hutchison, David, Series editor, Kanade, Takeo, Series editor, Kittler, Josef, Series editor, Kleinberg, Jon M., Series editor, Mattern, Friedemann, Series editor, Mitchell, John C., Series editor, Naor, Moni, Series editor, Nierstrasz, Oscar, Series editor, Pandu Rangan, C., Series editor, Steffen, Bernhard, Series editor, Sudan, Madhu, Series editor, Terzopoulos, Demetri, Series editor, Tygar, Dough, Series editor, Vardi, Moshe Y., Series editor, Weikum, Gerhard, Series editor, Correa, José R., editor, Hevia, Alejandro, editor, and Kiwi, Marcos, editor

Published
2006
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48. Fully Asynchronous Behavior of Double-Quiescent Elementary Cellular Automata

Author

Fatés, Nazim, Morvan, Michel, Schabanel, Nicolas, Thierry, Éric, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Dough, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Jȩdrzejowicz, Joanna, editor, and Szepietowski, Andrzej, editor

Published
2005
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50. Perturbing the Topology of the Game of Life Increases Its Robustness to Asynchrony

Author

Fatès, Nazim, Morvan, Michel, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Dough, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Sloot, Peter M. A., editor, Chopard, Bastien, editor, and Hoekstra, Alfons G., editor

Published
2004
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