Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Weitere Verfasser: | |
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2008
|
| Ausgabe: | 2nd., rev. ed. |
| Schriftenreihe: | Lecture Notes in Mathematics
470 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 73 S. |
| ISBN: | 9783540776055 3540776052 |
Internformat
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| 245 | 1 | 0 | |a Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms |c Robert E. Bowen. Jean-René Chazottes ed. |
| 250 | |a 2nd., rev. ed. | ||
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2008 | |
| 300 | |a VIII, 73 S. | ||
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| 650 | 4 | |a Anosov diffeomorphisms | |
| 650 | 4 | |a Differentiable dynamical systems | |
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Datensatz im Suchindex
| _version_ | 1804137619104202752 |
|---|---|
| adam_text | Contents
0
Introduction
............................................... 1
1
Gibbs Measures
...........................................
З
A. Gibbs Distribution
........................................
З
B.
Ruelle s Perron-Erobenius Theorem
.......................... 8
C.
Construction of Gibbs Measures
............................. 13
D. Variatkmal Principle
....................................... 16
E. Further Properties
......................................... 22
References
.................................................. 26
2
General Thermodynamic Formalism
....................... 29
A. Entropy
.................................................. 29
B. Pressure
................................................. 32
G. Variational Principle
....................................... 36
D. Equilibrium States
........................................ 42
References
.................................................. 43
3
Axiom a Diifeomorphisms
................................. 45
A. Definition
................................................ 45
B. Spectral Decomposition
.................................... 47
C. Markov Partitions
......................................... 51
D. Symbolic Dynamics
........................................ 56
References
.................................................. 58
4
Ergodic Theory of Axiom a Diffeomorphisms
.............. 61
A. Equilibrium States for Basic Sets
............................ 61
B. The Case
φ = φ№.........................................
64
C.
Attractors
aud
Akosov
Diffeomorphisms
...................... 69
References
.................................................. 72
VIII Contents
Index
.......................................................... 75
These
notes
came out of a course given at the University of Minnesota and
were revised while the author was on a Sloan Fellowship.
|
| adam_txt |
Contents
0
Introduction
. 1
1
Gibbs Measures
.
З
A. Gibbs Distribution
.
З
B.
Ruelle's Perron-Erobenius Theorem
. 8
C.
Construction of Gibbs Measures
. 13
D. Variatkmal Principle
. 16
E. Further Properties
. 22
References
. 26
2
General Thermodynamic Formalism
. 29
A. Entropy
. 29
B. Pressure
. 32
G. Variational Principle
. 36
D. Equilibrium States
. 42
References
. 43
3
Axiom a Diifeomorphisms
. 45
A. Definition
. 45
B. Spectral Decomposition
. 47
C. Markov Partitions
. 51
D. Symbolic Dynamics
. 56
References
. 58
4
Ergodic Theory of Axiom a Diffeomorphisms
. 61
A. Equilibrium States for Basic Sets
. 61
B. The Case
φ = φ№.
64
C.
Attractors
aud
Akosov
Diffeomorphisms
. 69
References
. 72
VIII Contents
Index
. 75
These
notes
came out of a course given at the University of Minnesota and
were revised while the author was on a Sloan Fellowship. |
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| discipline | Mathematik |
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| edition | 2nd., rev. ed. |
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| id | DE-604.BV023294152 |
| illustrated | Not Illustrated |
| index_date | 2024-07-02T20:44:15Z |
| indexdate | 2024-07-09T21:15:10Z |
| institution | BVB |
| isbn | 9783540776055 3540776052 |
| language | English |
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| physical | VIII, 73 S. |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | Springer |
| record_format | marc |
| series | Lecture Notes in Mathematics |
| series2 | Lecture Notes in Mathematics |
| spelling | Bowen, Rufus 1947-1978 Verfasser (DE-588)135742552 aut Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms Robert E. Bowen. Jean-René Chazottes ed. 2nd., rev. ed. Berlin [u.a.] Springer 2008 VIII, 73 S. txt rdacontent n rdamedia nc rdacarrier Lecture Notes in Mathematics 470 Dynamique différentiable Théorie ergodique Anosov diffeomorphisms Differentiable dynamical systems Ergodic theory Axiom-A-Diffeomorphismus (DE-588)4660710-9 gnd rswk-swf Ergodentheorie (DE-588)4015246-7 gnd rswk-swf Anosow-System (DE-588)4763266-5 gnd rswk-swf Diffeomorphismus (DE-588)4149767-3 gnd rswk-swf Ergodentheorie (DE-588)4015246-7 s Anosow-System (DE-588)4763266-5 s Axiom-A-Diffeomorphismus (DE-588)4660710-9 s DE-604 Diffeomorphismus (DE-588)4149767-3 s 1\p DE-604 Chazottes, Jean-René edt Lecture Notes in Mathematics 470 (DE-604)BV000676446 470 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016478721&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Bowen, Rufus 1947-1978 Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms Lecture Notes in Mathematics Dynamique différentiable Théorie ergodique Anosov diffeomorphisms Differentiable dynamical systems Ergodic theory Axiom-A-Diffeomorphismus (DE-588)4660710-9 gnd Ergodentheorie (DE-588)4015246-7 gnd Anosow-System (DE-588)4763266-5 gnd Diffeomorphismus (DE-588)4149767-3 gnd |
| subject_GND | (DE-588)4660710-9 (DE-588)4015246-7 (DE-588)4763266-5 (DE-588)4149767-3 |
| title | Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms |
| title_auth | Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms |
| title_exact_search | Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms |
| title_exact_search_txtP | Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms |
| title_full | Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms Robert E. Bowen. Jean-René Chazottes ed. |
| title_fullStr | Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms Robert E. Bowen. Jean-René Chazottes ed. |
| title_full_unstemmed | Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms Robert E. Bowen. Jean-René Chazottes ed. |
| title_short | Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms |
| title_sort | equilibrium states and the ergodic theory of anosov diffeomorphisms |
| topic | Dynamique différentiable Théorie ergodique Anosov diffeomorphisms Differentiable dynamical systems Ergodic theory Axiom-A-Diffeomorphismus (DE-588)4660710-9 gnd Ergodentheorie (DE-588)4015246-7 gnd Anosow-System (DE-588)4763266-5 gnd Diffeomorphismus (DE-588)4149767-3 gnd |
| topic_facet | Dynamique différentiable Théorie ergodique Anosov diffeomorphisms Differentiable dynamical systems Ergodic theory Axiom-A-Diffeomorphismus Ergodentheorie Anosow-System Diffeomorphismus |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016478721&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
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