Der Artikel ist weiterhin als ^^OTHERCONDITION^^ verfügbar.
Autor: Maurice Margenstern
ISBN-13: 9783642442049
Einband: Previously published in hardcover
Seiten: 320
Format: 235x155x mm
Sprache: Englisch

Small Universal Cellular Automata in Hyperbolic Spaces

.4, Emergence, Complexity and Computation
A Collection of Jewels
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.
99
Why hyperbolic geometry?.- Cellular automata and the railway model.- Inthepentagrid.- In the heptagrid.- In the tilings.- In the dodecagrid.- Strongly universal hyperbolic cellular automata.- The help of programming.
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 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 geometry. He is a pioneer
in cellular automata in hyperbolic spaces.
Autor: Maurice Margenstern
ISBN-13:: 9783642442049
ISBN: 3642442048
Verlag: Springer, Berlin, Springer Berlin Heidelberg, Springer
Seiten: 320
Sprache: Englisch
Auflage 2013
Sonstiges: Taschenbuch, 235x155x mm, 168 SW-Abb.