Cellular Automata

A Parallel Model
1. Auflage. Softcover version of original hardcover Auflage 1999
ISBN: 978-90-481-5143-1
Verlag: Springer Netherlands

Buch, Englisch, Band 460, 374 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 581 g

Reihe: Mathematics and Its Applications

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.
This book will be of interest to specialists of theoretical computer science and the parallelism challenge.

Zielgruppe

Research

Autoren/Hrsg.

Mazoyer, J.

Delorme, M.

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Elementare Algebra
• Mathematik | Informatik EDV | Informatik Programmierung | Softwareentwicklung Funktionale, Logische, Parallele und Visuelle Programmierung
• Mathematik | Informatik Mathematik Mathematische Analysis Variationsrechnung
• Mathematik | Informatik EDV | Informatik Informatik Logik, formale Sprachen, Automaten
• Mathematik | Informatik Mathematik Mathematik Allgemein Mathematische Logik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

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.