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E-raamat: Cellular Automata: A Parallel Model

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Cellular automata can be viewed both as computational models and modelling systems of real processes. This volume emphasises the first aspect. In articles written by leading researchers, sophisticated massive parallel algorithms (firing squad, life, Fischer's primes recognition) are treated. Their computational power and the specific complexity classes they determine are surveyed, while some recent results in relation to chaos from a new dynamic systems point of view are also presented. Audience: This book will be of interest to specialists of theoretical computer science and the parallelism challenge.
Preface vii Maurice Nivat Part 1 A general survey An introduction to cellular automata 5(46) M. Delorme The Game of Life: universality revisited 51(26) B. Durand Zs. Roka Part 2 Algorithmics Computations on cellular automata 77(42) J. Mazoyer Computations on grids 119(34) J. Mazoyer Part 3 Computational power Cellular automata as languages recognizers 153(28) M. Delorme J. Mazoyer Computational complexity of cellular automata: an overview 181(18) O. Ibarra A counting equivalence classes method to prove negative results 199(14) V. Terrier Part 4 Dynamics Topological definitions of deterministic chaos 213(50) G. Cattaneo E. Formenti L. Margara Part 5 Modeling Modeling diffusion of informations with probabilistic cellular automata 263(16) N. Boccara H. Fuks Cellular automata models and cardiac arrhythmias 279(14) A. Bardou P. Auger R. Seigneuric J.-L. Chasse Part 6 Particular techniques examples Dynamic properties of an automation with memory 293(10) M. Cosnard Linear cellular automata and De Bruijn automata 303(18) K. Sutner Cellular automata, finite automata and number theory 321(10) J.-P. Allouche Decision problems on global cellular automata 331(14) J, Culik II An introduction to automata on graphs 345(8) E. Remila Bibliography 353(12) List of authors 365(4) Index 369