Emergence, Complexity and Computation

Small Universal Cellular Automata in Hyperbolic Spaces

A Collection of Jewels

Authors: Margenstern, Maurice

  • 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 aesthetic aspect
  • The pictures constitute a “A Collection of Jewels” where the word jewel is taken in both senses: direct and figurative
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About this book

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.

Table of contents (9 chapters)

Buy this book

eBook $159.00
price for USA (gross)
  • ISBN 978-3-642-36663-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $209.00
price for USA
  • ISBN 978-3-642-36662-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $209.00
price for USA
  • ISBN 978-3-642-44204-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Small Universal Cellular Automata in Hyperbolic Spaces
Book Subtitle
A Collection of Jewels
Authors
Series Title
Emergence, Complexity and Computation
Series Volume
4
Copyright
2013
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-36663-5
DOI
10.1007/978-3-642-36663-5
Hardcover ISBN
978-3-642-36662-8
Softcover ISBN
978-3-642-44204-9
Series ISSN
2194-7287
Edition Number
1
Number of Pages
IX, 320
Topics