Small Universal Cellular Automata in Hyperbolic Spaces: A Collection of Jewels

Small Universal Cellular Automata in Hyperbolic Spaces: A Collection of Jewels

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Hardcover, Springer Verlag, 2013, ISBN13 9783642366628, ISBN10 3642366627
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Hardcover, Springer Verlag, 2013, ISBN13 9783642366628, ISBN10 3642366627

About this item

Important Made in USA Origin Disclaimer: For certain items sold by Walmart on Walmart.com, the displayed country of origin information may not be accurate or consistent with manufacturer information. For updated, accurate country of origin data, it is recommended that you rely on product packaging or manufacturer information.

Hardcover, Springer Verlag, 2013, ISBN13 9783642366628, ISBN10 3642366627

Hyperbolic geometry is an essential part of theoretical astrophysics and cosmology. Besides specialists of these domains, many specialists of new domains start to show a growing interest
both to hyperbolic geometry and to cellular automata. This is especially the case in biology and computer science.

This book gives the reader a deep and efficient introduction to an algorithmic approach to hyperbolic geometry. It focuses the attention on the possibilities to obtain in this frame the power of computing everything a computer can compute, that is to say: universality.

The minimal ways to get universality are investigated in a large family of tilings of the hyperbolic plane. In several cases the best results are obtained.In all cases, the results are close to the theoretical best values. This gives rise to fantastic illustrations: the results are jewels in all meanings of the word.

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Maurice MARGENSTERN is professor emeritus at the University of Lorraine, he is a member of LITA, the research unit of computer science in the campus of Metz of this university. Professor Margenstern is amongst top world experts in theory of computation, mathematical machines and geometry. He is a pioneer
in cellular automata in hyperbolic spaces.

Specifications

Number of Pages: 320
Original Languages: English
Author: Margenstern, Maurice
Series Title: Emergence, Complexity and Computation
Book Format: Hardcover
Publisher: Springer Verlag
Publication Date: March, 2013
ISBN-13: 9783642366628
Assembled Product Dimensions (L x W x H): 6.10 x 9.20 x 8.00 Inches
ISBN-10: 3642366627
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