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

Margenstern, Maurice

 
9783642442049: Small Universal Cellular Automata in Hyperbolic Spaces: A Collection of Jewels
Couverture souple
ISBN 10 : 3642442048 ISBN 13 : 9783642442049
Editeur : Springer, 2015

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

This book gives the reader a deep and efficient introduction to an algorithmic approach to hyperbolic geometry. It addresses the issue of universality in an unconventional model of computation, that of cellular automata in hyperbolic spaces.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2015
Langue
anglais
ISBN 10 
3642442048
ISBN 13 
9783642442049
Reliure
Broché
Nombre de pages
332
Coordonnées du fabricant
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Poststr. 9
Darmstadt
64293
Allemagne

Autres éditions populaires du même titre

9783642366628: Small Universal Cellular Automata in Hyperbolic Spaces: A Collection of Jewels

Edition présentée

ISBN 10 :  3642366627 ISBN 13 :  9783642366628
Editeur : Springer-Verlag Berlin and Heide..., 2013
Couverture rigide