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Titlebook: Small Universal Cellular Automata in Hyperbolic Spaces; A Collection of Jewe Maurice Margenstern Book 2013 Springer-Verlag Berlin Heidelber

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發(fā)表于 2025-3-21 17:05:13 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Small Universal Cellular Automata in Hyperbolic Spaces
副標題A Collection of Jewe
編輯Maurice Margenstern
視頻videohttp://file.papertrans.cn/869/868540/868540.mp4
概述Addresses the issue of universality in an unconventional model of computation, that of cellular automata in hyperbolic spaces.All the results are illustrated by colour pictures with a definite aesthet
叢書名稱Emergence, Complexity and Computation
圖書封面Titlebook: Small Universal Cellular Automata in Hyperbolic Spaces; A Collection of Jewe Maurice Margenstern Book 2013 Springer-Verlag Berlin Heidelber
描述.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..------------------------. 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
出版日期Book 2013
關鍵詞Cellular Automata; Hyperbolic Geometry; Indecidability; Tessellations; Tilings; Universality Theorems; com
版次1
doihttps://doi.org/10.1007/978-3-642-36663-5
isbn_softcover978-3-642-44204-9
isbn_ebook978-3-642-36663-5Series ISSN 2194-7287 Series E-ISSN 2194-7295
issn_series 2194-7287
copyrightSpringer-Verlag Berlin Heidelberg 2013
The information of publication is updating

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Strongly Universal Hyperbolic Cellular Automata,e desired grid of the hyperbolic plane or of the hyperbolic 3. space. In Section 7.1, we present a general statement which will entail results about weak universality. In Section 7.2, we improve the technique in order to obtain results about strong universality. We conclude with a few remarks in Sec
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Book 2013ains 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 po
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Why Hyperbolic Geometry?,ound in [34] where much interesting information is given about hyperbolic geometry, in particular from an aesthetic point of view. In Section 1.2, I give a few general indications on this geometry. In Section 1.3, I introduce the Poincaré’s model which is intensively used in the other chapters of the book.
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