Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms
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 a...
Κύριος συγγραφέας: | |
---|---|
Συγγραφή απο Οργανισμό/Αρχή: | |
Άλλοι συγγραφείς: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
Berlin, Heidelberg :
Springer Berlin Heidelberg,
2008.
|
Σειρά: | Lecture Notes in Mathematics,
470 |
Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- Preface to the 2nd edition by David Ruelle
- 0. 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.