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Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms: Lecture Notes in Mathematics, cartea 470

Autor Robert Edward Bowen Editat de Jean-René Chazottes Prefață de David Ruelle
en Limba Engleză Paperback – 18 apr 2008
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."
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Specificații

ISBN-13: 9783540776055
ISBN-10: 3540776052
Pagini: 92
Ilustrații: VIII, 76 p. 10 illus.
Dimensiuni: 155 x 235 x 5 mm
Greutate: 0.14 kg
Ediția:2nd ed. 2008
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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.

Textul de pe ultima copertă

 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."

Caracteristici

Includes supplementary material: sn.pub/extras