Cover image for Cellular Automata A Parallel Model
Cellular Automata A Parallel Model
Title:
Cellular Automata A Parallel Model
ISBN:
9789401591539
Edition:
1st ed. 1999.
Publication Information New:
Dordrecht : Springer Netherlands : Imprint: Springer, 1999.
Physical Description:
X, 374 p. online resource.
Series:
Mathematics and Its Applications ; 460
Contents:
A general survey -- An Introduction to Cellular Automata -- The Game of Life: Universality Revisited -- Algorithmics -- Computations on Cellular Automata -- Computations on Grids -- Computational power -- Cellular Automata as Languages Recognizers -- Computational Complexity of Cellular Automata: An Overview -- A Counting Equivalence Classes Method to Prove Negative Results -- Dynamics -- Topological Definitions of Deterministic Chaos -- Modeling -- Modeling Diffusion of Innovations with Probabilistic Cellular Automata -- Cellular Automata Models and Cardiac Arrhythmias -- Particular techniques examples -- Dynamic Properties of an Automaton with Memory -- Linear Cellular Automata and de Bruijn Automata -- Cellular Automata, Finite Automata, and Number Theory -- Decision Problems on Global Cellular Automata -- An Introduction to Automata on Graphs.
Abstract:
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.
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Language:
English