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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Bowen, Robert Edward (Autor)
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Chazottes, Jean-René (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2008.
Edición:2nd ed. 2008.
Colección:Lecture Notes in Mathematics, 470
Temas:
Dynamical systems.
Manifolds (Mathematics).
Probabilities.
Dynamical Systems.
Manifolds and Cell Complexes.
Probability Theory.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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