Bowen / Chazottes Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms

2. revidierte Auflage 2008
ISBN: 978-3-540-77695-6
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 470, 76 Seiten, eBook

Reihe: Lecture Notes in Mathematics

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."

Zielgruppe

Research

Autoren/Hrsg.

Bowen, Robert Edward

Chazottes, Jean-René

Weitere Mitwirkende

Ruelle, David

Inhaltsverzeichnis

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.