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portada Solvable Cellular Automata: Methods and Applications
Type
Physical Book
Author
Publisher
Language
English
Pages
296
Format
Hardcover
Dimensions
23.4x15.6x1.9 cm
Weight
0.62 kg.
ISBN13
9783031386992
Categories

Solvable Cellular Automata: Methods and Applications

Henryk Fukś (Author) · Springer · Hardcover

Solvable Cellular Automata: Methods and Applications - Fukś, Henryk

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Synopsis "Solvable Cellular Automata: Methods and Applications"

The main focus of the book is solvability of cellular automata, that is, expressing the state of a given cell after a given number of steps by an explicit formula. The author considers solutions of two types of initial value problems for cellular automata, the deterministic one and the probabilistic one. In the first chapter the basic concepts of cellular automata theory are introduced. Deterministic initial value problem is introduced next and solutions for selected simple rules are also presented. In the following chapters various techniques for solving the deterministic problem are introduced, using elementary CA rules of increasing complexity as examples. The second part of the book introduces the concept of probability measure in the context of cellular automata and the probabilistic initial value problem for both deterministic and probabilistic rules. The book is amply illustrated with examples and applications such as the density classification problem, phase transitions in traffic models or the diffusion of innovations model. In the appendix, solution formulae (both deterministic and probabilistic) for over 60 elementary cellular automata rules are listed. Ruelle-Frobenius-Perron equations for all 88 minimal elementary cellular automata are also provided.

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