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

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 interestboth to hyperbolic geometry and to cellular automata. This is especially the case in biology and computer science....

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मुख्य लेखक: Margenstern, Maurice, 19..-...., mathématicien
स्वरूप: Livre numérique
भाषा:Anglais
प्रकाशित: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
संस्करण:1st ed. 2013.
श्रृंखला:Emergence, Complexity and Computation 4
ऑनलाइन पहुंच:Accès sur la plateforme de l'éditeur
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Accès Université d'Orléans
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टिप्पणी: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Small Universal Cellular Automata in Hyperbolic Spaces, Texte imprimé, 9783642366628
• Small Universal Cellular Automata in Hyperbolic Spaces, Texte imprimé, 9783642366642
• Small Universal Cellular Automata in Hyperbolic Spaces, Texte imprimé, 9783642366628
• Small Universal Cellular Automata in Hyperbolic Spaces, Texte imprimé, 9783642442049
विवरण
सारांश: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 interestboth 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 invistigated 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.------------------------   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
वस्तु वर्णन:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
आईएसबीएन:9783642366635
आईएसएसएन:2194-7295
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