| 书目名称 | Small Universal Cellular Automata in Hyperbolic Spaces |
| 副标题 | A Collection of Jewe |
| 编辑 | Maurice Margenstern |
| 视频video | |
| 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 |
| 丛书名称 | Emergence, Complexity and Computation |
| 图书封面 |  |
| 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 |
| 关键词 | Cellular Automata; Hyperbolic Geometry; Indecidability; Tessellations; Tilings; Universality Theorems; com |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-642-36663-5 |
| isbn_softcover | 978-3-642-44204-9 |
| isbn_ebook | 978-3-642-36663-5Series ISSN 2194-7287 Series E-ISSN 2194-7295 |
| issn_series | 2194-7287 |
| copyright | Springer-Verlag Berlin Heidelberg 2013 |
发表于 2025-3-21 17:05:13
