Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms
(Sprache: Englisch)
For this printing of R. Bowen's book, J.-R. Chazottes has retyped it in TeX for easier reading, thereby correcting typos and bibliographic details.
From the Preface by D. Ruelle: "Rufus Bowen has left us a masterpiece of mathematical exposition......
From the Preface by D. Ruelle: "Rufus Bowen has left us a masterpiece of mathematical exposition......
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For this printing of R. Bowen's book, J.-R. Chazottes has retyped it in TeX for easier reading, thereby correcting typos and bibliographic details. From the Preface by D. Ruelle: "Rufus Bowen has left us a masterpiece of mathematical exposition... Here a number of results which were new at the time are presented in such a clear and lucid style that Bowen's monograph immediately became a classic. More than thirty years later, many new results have been proved in this area, but the volume is as useful as ever because it remains the best introduction to the basics of the ergodic theory of hyperbolic systems."
Inhaltsverzeichnis zu „Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms “
- Preface to the 2nd edition by David Ruelle0. Introduction
1.Gibbs measures
A.Gibbs measures
B.Ruelle's Perron-Frobenius Theorem
C.Construction of Gibbs measures
D.Variational principle
E.Further properties
References
2.General thermodynamic formalism
A.Entropy
B.Pressure
C.Variational principle
D.Equilibrium states
References
3.Axiom A diffeomorphisms
A.Definition
B. Spectral decomposition
C.Markov partitions
D.Symbolic dynamics
References
4.Ergodic theory of Axiom A diffeomorphisms
A.Equilibrium states for basic sets
B.The case phi=phi^(u)
C.Attractors and Anosov diffeormorphisms
- References
- Index
Bibliographische Angaben
- Autor: Robert E. Bowen
- 2008, 2nd ed., VIII, 76 Seiten, Masse: 15,5 x 23,5 cm, Kartoniert (TB), Englisch
- Herausgegeben: Jean-René Chazottes
- Verlag: Springer, Berlin
- ISBN-10: 3540776052
- ISBN-13: 9783540776055
- Erscheinungsdatum: 29.07.2017
Sprache:
Englisch
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