Small universal cellular automata in hyperbolic spaces: a collection of jewels
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Berlin [u.a.]
Springer
2013
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Schriftenreihe: | Emergence, complexity and computation
4 |
Schlagworte: | |
Online-Zugang: | BTU01 FHA01 FHI01 FHN01 FHR01 FKE01 FWS01 UBY01 Volltext Inhaltsverzeichnis Abstract |
Beschreibung: | 1 Online-Ressource |
ISBN: | 9783642366635 |
DOI: | 10.1007/978-3-642-36663-5 |
Internformat
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adam_text | SMALL UNIVERSAL CELLULAR AUTOMATA IN HYPERBOLIC SPACES
/ MARGENSTERN, MAURICE
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
SMALL UNIVERSAL CELLULAR AUTOMATA IN HYPERBOLIC SPACES
/ MARGENSTERN, MAURICE
: 2013
ABSTRACT / INHALTSTEXT
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 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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
any_adam_object | 1 |
author | Margenstern, Maurice |
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dewey-ones | 620 - Engineering and allied operations |
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format | Electronic eBook |
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indexdate | 2025-02-20T07:02:45Z |
institution | BVB |
isbn | 9783642366635 |
language | English |
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publishDateSearch | 2013 |
publishDateSort | 2013 |
publisher | Springer |
record_format | marc |
series | Emergence, complexity and computation |
series2 | Emergence, complexity and computation |
spellingShingle | Margenstern, Maurice Small universal cellular automata in hyperbolic spaces a collection of jewels Emergence, complexity and computation Ingenieurwissenschaften Physics Engineering Hyperbolischer Raum (DE-588)4161046-5 gnd Zellularer Automat (DE-588)4190671-8 gnd |
subject_GND | (DE-588)4161046-5 (DE-588)4190671-8 |
title | Small universal cellular automata in hyperbolic spaces a collection of jewels |
title_auth | Small universal cellular automata in hyperbolic spaces a collection of jewels |
title_exact_search | Small universal cellular automata in hyperbolic spaces a collection of jewels |
title_full | Small universal cellular automata in hyperbolic spaces a collection of jewels Maurice Margenstern |
title_fullStr | Small universal cellular automata in hyperbolic spaces a collection of jewels Maurice Margenstern |
title_full_unstemmed | Small universal cellular automata in hyperbolic spaces a collection of jewels Maurice Margenstern |
title_short | Small universal cellular automata in hyperbolic spaces |
title_sort | small universal cellular automata in hyperbolic spaces a collection of jewels |
title_sub | a collection of jewels |
topic | Ingenieurwissenschaften Physics Engineering Hyperbolischer Raum (DE-588)4161046-5 gnd Zellularer Automat (DE-588)4190671-8 gnd |
topic_facet | Ingenieurwissenschaften Physics Engineering Hyperbolischer Raum Zellularer Automat |
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