Verfügbarkeit: The universe as automaton | Technische Universität München

The universe as automaton: from simplicity and symmetry to complexity

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Bibliographische Detailangaben
Beteiligte Personen:	Mainzer, Klaus 1947- (VerfasserIn), Chua, Leon O. 1936- (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Heidelberg [u.a.] Springer 2012
Schriftenreihe:	SpringerBriefs in complexity
Schlagwörter:	Zellularer Automat Komplexes System
Links:	http://deposit.dnb.de/cgi-bin/dokserv?id=3857318&prov=M&dok%5Fvar=1&dok%5Fext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024661283&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	VIII, 108 S. Ill., graph. Darst
ISBN:	9783642234767 3642234763 9783642234774

Internformat

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Datensatz im Suchindex

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adam_text	IMAGE 1 CONTENTS 1 INTRODUCTION: LEIBNIZ, TURING, ZUSE AND BEYOND 1 LEIBNIZ VISION OF DIVINE AUTOMATA 1 THE CHURCH-TURING THESIS 2 THE BIRTH OF CELLULAR AUTOMATA 5 THE ZUSE-FREDKIN THESIS 6 A NEW KIND OF SCIENCE? 8 COMPLEX DYNAMICAL SYSTEMS 9 BEYOND THE CHURCH-TURING THESIS? 13 REFERENCES 15 2 SIMPLICITY IN THE UNIVERSE OF CELLULAR AUTOMATA 17 FROM SIMPLE LOCAL RULES TO GLOBAL COMPLEX PATTERNS 17 CELLULAR AUTOMATA AS DYNAMICAL SYSTEMS 19 DIGITAL DYNAMICS WITH DIFFERENCE EQUATIONS 22 REFERENCES 24 3 COMPLEXITY IN THE UNIVERSE OF CELLULAR AUTOMATA 25 COMPLEXITY INDEX OF CELLULAR AUTOMATA 25 ANALYTICAL GEOMETRY OF BOOLEAN CUBES 27 FROM SIMPLE BUILDING BLOCKS TO COMPLEX COMPOSITIONS 27 COMPUTATIONAL COMPLEXITY AND UNIVERSAL COMPUTABILITY 29 REFERENCES 30 4 SYMMETRY IN THE UNIVERSE OF CELLULAR AUTOMATA 31 LOCAL EQUIVALENCE OF CELLULAR AUTOMATA 31 GLOBAL EQUIVALENCE OF CELLULAR AUTOMATA 33 SYMMETRY WITH GLOBAL TRANSFORMATIONS 35 SYMMETRY OF LEFT-RIGHT TRANSFORMATION T 1 35 SYMMETRY OF GLOBAL COMPLEMENTATION T 37 SYMMETRY OF LEFT-RIGHT COMPLEMENTATION T* 38 BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1013760840 DIGITALISIERT DURCH IMAGE 2 VIII CONTENTS GLOBAL SYMMETRY OF KLEIN S VIERERGRUPPE V 39 LOCAL SYMMETRY CLASSES OF CELLULAR AUTOMATA 40 THE HOLY GRAIL OF SYMMETRY AND COMPUTABILITY 42 REFERENCES 43 5 ATTRACTORS IN THE UNIVERSE OF CELLULAR AUTOMATA 45 TRANSIENT REGIME AND BASIN OF ATTRACTORS 45 CHARACTERISTIC FUNCTIONS OF CELLULAR AUTOMATA 47 POINCARE RETURN MAPS OF CELLULAR AUTOMATA 50 LAMERAY DIAGRAMS OF CELLULAR AUTOMATA 51 POWER SPECTRUM OF CELLULAR AUTOMATA 52 INVERTIBLE ATTRACTORS 55 BERNOULLI SHIFTS OF CELLULAR AUTOMATA 56 BERNOULLI SHIFTS AND COIN-TOSS EXPERIMENTS 58 FRACTALITY OF CELLULAR AUTOMATA 59 GARDENS OF EDEN AND ISLES OF EDEN 61 BASIN TREES OF ATTRACTORS 62 REFERENCES 65 6 TIME IN THE UNIVERSE OF CELLULAR AUTOMATA 67 TIME REVERSAL TEST OF CELLULAR AUTOMATA 67 TIME REVERSIBILITY AND ARROW OF TIME 69 TIME REVERSIBILITY AND INVERTIBILITY 70 RANDOM WALKS, TIME AND CELLULAR AUTOMATA 73 REFERENCES 73 7 MATTER IN THE UNIVERSE OF CELLULAR AUTOMATA 75 SYMMETRIES IN THE UNIVERSE OF PHYSICS 75 SYMMETRIES IN THE UNIVERSE OF AUTOMATA 77 EXPANSION IN THE UNIVERSE OF PHYSICS AND AUTOMATA 81 QUANTUM MATTER AND QUANTUM INFORMATION 82 THE UNIVERSE OF QUANTUM CELLULAR AUTOMATA 83 REFERENCES 85 8 LIFE AND BRAIN IN THE UNIVERSE OF CELLULAR AUTOMATA 87 SELF-ORGANIZATION AND EMERGENCE IN CELLULAR AUTOMATA 87 SYSTEMS BIOLOGY AND CELLULAR AUTOMATA 89 BRAIN RESEARCH AND CELLULAR AUTOMATA 93 BRAINS OF MEMRISTORS? 100 REFERENCES 102 9 OUTLOOK: IS THE UNIVERSE A COMPUTER? 105 REFERENCES 108
any_adam_object	1
author	Mainzer, Klaus 1947- Chua, Leon O. 1936-
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dewey-search	530.1
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dewey-tens	530 - Physics
discipline	Physik Informatik Philosophie
format	Book
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isbn	9783642234767 3642234763 9783642234774
language	English
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physical	VIII, 108 S. Ill., graph. Darst
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publisher	Springer
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spellingShingle	Mainzer, Klaus 1947- Chua, Leon O. 1936- The universe as automaton from simplicity and symmetry to complexity Zellularer Automat (DE-588)4190671-8 gnd Komplexes System (DE-588)4114261-5 gnd
subject_GND	(DE-588)4190671-8 (DE-588)4114261-5
title	The universe as automaton from simplicity and symmetry to complexity
title_auth	The universe as automaton from simplicity and symmetry to complexity
title_exact_search	The universe as automaton from simplicity and symmetry to complexity
title_full	The universe as automaton from simplicity and symmetry to complexity Klaus Mainzer ; Leon Chua
title_fullStr	The universe as automaton from simplicity and symmetry to complexity Klaus Mainzer ; Leon Chua
title_full_unstemmed	The universe as automaton from simplicity and symmetry to complexity Klaus Mainzer ; Leon Chua
title_short	The universe as automaton
title_sort	the universe as automaton from simplicity and symmetry to complexity
title_sub	from simplicity and symmetry to complexity
topic	Zellularer Automat (DE-588)4190671-8 gnd Komplexes System (DE-588)4114261-5 gnd
topic_facet	Zellularer Automat Komplexes System
url	http://deposit.dnb.de/cgi-bin/dokserv?id=3857318&prov=M&dok%5Fvar=1&dok%5Fext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024661283&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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