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 mathematicalexposition... 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 aclassic. 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 system’. INDICE: 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 Adiffeomorphisms.- 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.

• ISBN: 978-3-540-77605-5
• Editorial: Springer
• Encuadernacion: Rústica
• Páginas: 85
• Fecha Publicación: 01/02/2008
• Nº Volúmenes: 1
• Idioma: Inglés