Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms:
Saved in:
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2008
|
| Edition: | Second, revised edition |
| Series: | Lecture Notes in Mathematics
470 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 73 Seiten |
| ISBN: | 9783540776055 3540776052 |
Staff View
MARC
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Record in the Search Index
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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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| index_date | 2024-07-02T20:44:15Z |
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| isbn | 9783540776055 3540776052 |
| language | English |
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| physical | VIII, 73 Seiten |
| publishDate | 2008 |
| publishDateSearch | 2008 |
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| publisher | Springer |
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| 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. Second, revised edition Berlin [u.a.] Springer 2008 VIII, 73 Seiten txt rdacontent n rdamedia nc rdacarrier Lecture Notes in Mathematics 470 Dynamique différentiable Théorie ergodique Anosov diffeomorphisms Differentiable dynamical systems Ergodic theory Diffeomorphismus (DE-588)4149767-3 gnd rswk-swf Axiom-A-Diffeomorphismus (DE-588)4660710-9 gnd rswk-swf Anosow-System (DE-588)4763266-5 gnd rswk-swf Ergodentheorie (DE-588)4015246-7 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 https://bvbr.bib-bvb.de:443/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 Diffeomorphismus (DE-588)4149767-3 gnd Axiom-A-Diffeomorphismus (DE-588)4660710-9 gnd Anosow-System (DE-588)4763266-5 gnd Ergodentheorie (DE-588)4015246-7 gnd |
| subject_GND | (DE-588)4149767-3 (DE-588)4660710-9 (DE-588)4763266-5 (DE-588)4015246-7 |
| 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 Diffeomorphismus (DE-588)4149767-3 gnd Axiom-A-Diffeomorphismus (DE-588)4660710-9 gnd Anosow-System (DE-588)4763266-5 gnd Ergodentheorie (DE-588)4015246-7 gnd |
| topic_facet | Dynamique différentiable Théorie ergodique Anosov diffeomorphisms Differentiable dynamical systems Ergodic theory Diffeomorphismus Axiom-A-Diffeomorphismus Anosow-System Ergodentheorie |
| url | https://bvbr.bib-bvb.de:443/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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