Cellular Automata

A Parallel Model

Buch | Hardcover

374 Seiten

1998
Springer (Verlag)
978-0-7923-5493-2 (ISBN)

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Cellular automata can be viewed both as computational models and modelling systems of real processes. 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.

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.

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.

Erscheint lt. Verlag	31.12.1998
Reihe/Serie	Mathematics and Its Applications ; 460
Reihe/Serie	Mathematics and Its Applications ; 460
Zusatzinfo	X, 374 p.
Verlagsort	Dordrecht
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
Themenwelt	Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
ISBN-10	0-7923-5493-1 / 0792354931
ISBN-13	978-0-7923-5493-2 / 9780792354932
Zustand	Neuware