Symbolic dynamics: one-sided, two-sided and countable state Markov shifts
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | German |
Veröffentlicht: |
Berlin [u.a.]
Springer
1998
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Schriftenreihe: | Universitext
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Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | X, 252 S. graph. Darst. |
ISBN: | 3540627383 |
Internformat
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Datensatz im Suchindex
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adam_text | Contents Chapter 1. Background and Basies ........................................................ 1 §1.1 Subshifts of Finite Type ................................................................ § 1.2 Examples ........................................................................................ § 1.3 Perron-Frobenius Theory ............................................................ § 1.4 Basic Dynamics ............................................................................ Notes ........................................................................................................ References ................................................................................................ 2 4 16 21 28 31 Chapter 2. Topological Conjugacy ........................................................ 33 § 2.1 Decomposition of Topological Conjugacies ................................ § 2.2 Algebraic Consequences of Topological Conjugacy ................ Notes ........................................................................................................ References ................................................................................................ 33 47 59 61 .................................................................... 63 Chapter3. Automorphisms § 3.1 Automorphisms ............................................................................ 64 § 3.2 Automorphisms as Conjugacies .................................................... 66 § 3.3 Subgroups of the Automorphism Group ......................................... 74 § 3.4 Actions of
Automorphisms ........................................................ 88 § 3.5 Summary ........................................................................................ 91 Notes ........................................................................................................ 91 References ................................................................................................ 93 Chapter 4. Embeddings and Factor Maps ............................................ 95 §4.1 Factor Maps .................................................................................... 95 § 4.2 Finite-to-one Factor Maps ............................................................... 101 §4.3 Special Constructions Involving Factor Maps ............................... 113 § 4.4 Subsystems and Infinite-to-One Factor Maps ............................... 120 Notes ........................................................................................................... 130 References .................................................................................................... 132
x Contents Chapters. Almost-Topological Conjugacy ........................................... 135 §5.1 Reducible Subshifts of Finite Type ................................................135 § 5.2 Almost-Topological Conjugacy ........................................................138 Notes ........................................................................................................... 145 References ................................................................................................... 146 Chapter 6. Further Topics ........................................................................... 147 § 6.1 Sofie Systems ....................................................................................147 § 6.2 Markov Measures and the Maximal Measure .............................. 159 § 6.3 Markov Subgroups .......................................................................... 177 § 6.4 Cellular Automata ...........................................................................181 § 6.5 Channnel Codes ...............................................................................182 Notes ........................................................................................................... 188 References ................................................................................................... 191 Chapter?. Countable State MarkovShifts.................................................195 § 7.1 Perron-Frobenius Theory ............................................................ 195 § 7.2 Basic Symbolic Dynamics
............................................................... 226 Notes ........................................................................................................... 238 References ................................................................................................... 239 Bibliography ............................................................................................... 241 Name Index ................................................................................................... 247 Subject Index ............................................................................................... 249
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author | Kitchens, Bruce P. 1953- |
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dewey-ones | 514 - Topology |
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dewey-tens | 510 - Mathematics |
discipline | Mathematik |
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id | DE-604.BV011515192 |
illustrated | Illustrated |
indexdate | 2024-07-09T18:11:05Z |
institution | BVB |
isbn | 3540627383 |
language | German |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007750148 |
oclc_num | 247570210 |
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physical | X, 252 S. graph. Darst. |
publishDate | 1998 |
publishDateSearch | 1998 |
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publisher | Springer |
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series2 | Universitext |
spelling | Kitchens, Bruce P. 1953- Verfasser (DE-588)115590110 aut Symbolic dynamics one-sided, two-sided and countable state Markov shifts Bruce P. Kitchens Berlin [u.a.] Springer 1998 X, 252 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Universitext Symbolic dynamics Symbolische Dynamik (DE-588)4482797-0 gnd rswk-swf Symbolische Dynamik (DE-588)4482797-0 s DE-604 Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007750148&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Kitchens, Bruce P. 1953- Symbolic dynamics one-sided, two-sided and countable state Markov shifts Symbolic dynamics Symbolische Dynamik (DE-588)4482797-0 gnd |
subject_GND | (DE-588)4482797-0 |
title | Symbolic dynamics one-sided, two-sided and countable state Markov shifts |
title_auth | Symbolic dynamics one-sided, two-sided and countable state Markov shifts |
title_exact_search | Symbolic dynamics one-sided, two-sided and countable state Markov shifts |
title_full | Symbolic dynamics one-sided, two-sided and countable state Markov shifts Bruce P. Kitchens |
title_fullStr | Symbolic dynamics one-sided, two-sided and countable state Markov shifts Bruce P. Kitchens |
title_full_unstemmed | Symbolic dynamics one-sided, two-sided and countable state Markov shifts Bruce P. Kitchens |
title_short | Symbolic dynamics |
title_sort | symbolic dynamics one sided two sided and countable state markov shifts |
title_sub | one-sided, two-sided and countable state Markov shifts |
topic | Symbolic dynamics Symbolische Dynamik (DE-588)4482797-0 gnd |
topic_facet | Symbolic dynamics Symbolische Dynamik |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007750148&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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