Cellular Automata in Hyperbolic Spaces Volume II: Implementations and Computations

Maurice Margenstern

ISBN 10: 1933153067 / ISBN 13: 9781933153063

Published by Old City Publishing, 2009

About this Item

Coin inferieur droit couverture arriere legerement erase. Interieur du livre en tres bon etat. NA10609, 1003D1, 9781933153063.

Seller Inventory # NA10609

Bibliographic Details

• Title: Cellular Automata in Hyperbolic Spaces Volume II: Implementations and Computations
• Publisher: Old City Publishing
• Publication Date: 2009
• Language: French
• ISBN 10: 1933153067
• ISBN 13: 9781933153063
• Binding: Couverture souple
• Edition: Edition originale
• Condition: Très bon

About this title

Synopsis

Cellular Automata in Hyperbolic Spaces Volume II: Implementation and Computations introduces the hot topic of mathematics and computer science at the edge of hyperbolic geometry and cellular automata. A hyperbolic space is a geometric model where, through a given point, there are two distinct parallels to a given line. A cellular automaton is a set of cells that are uniformly distributed in a space, connected locally and update which their states by the same rule. This volume advances the novel results presented in Volume 1 on a location of tiles in many tilings of the hyperbolic plane. These results are applied in further studies of cellular automata in non-traditional spaces. We discuss a wide range of applications from cell phones to the theoretical problems of tilings. Hyperbolic geometry is an essential part of theoretical astrophysics and cosmology; therefore ideas discussed in the book will play an important role in the theory of relativity. In addition to specialists of these traditional fields of application, many specialists in new domains are beginning to show a growing interest in both hyperbolic geometry and cellular automata. This is especially the case in biology and in computer science. Cellular Automata in Hyperbolic Spaces Volume II: Implementation and Computations skillfully hybridizes the different disciplines of geometry and computation and is certain to be beneficial in the fields of mathematics, computer science and engineering. An outstanding treatise of concepts and implementations, the book will prove to be relevant for decades. Contains ten pages of color plates

About the Author

Maurice Margenstern is Professor and Head of the Research Department in Computer Science at the University Paul Verlaine, in Metz, France. Professor Margenstern ranks among the top world experts in the theory of computation, mathematical machines and geometry, and is a pioneer in cellular automata on hyperbolic spaces.