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 at...

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Dades bibliogràfiques
Autor principal: Bowen, Rufus, 1947-1978
Format: Livre numérique
Idioma:Anglais
Publicat: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Col·lecció:Lecture Notes in Mathematics 470
Matèries:
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Variante du titre:a
Edition sous un autre format:• Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms, Texte imprimé, 9783540848875
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms, Rufus Bowen, 2nd revised edition, 2008, Berlin, Springer, 1 vol. (VIII-73 p.), Lecture notes in mathematics, 3-540-77605-2
Taula de continguts:
  • 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.