Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms / by Robert Edward (Rufus) Bowen, Jean-René Chazottes, David Ruelle.

Format:

Book

Author/Creator:

Bowen, Robert Edward (Rufus), author.

Chazottes, J.-R. (Jean-René), author.

Ruelle, David, author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 470.

Lecture Notes in Mathematics, 0075-8434 ; 470

Language:

English

Subjects (All):

Differentiable dynamical systems.

Cell aggregation--Mathematics.

Cell aggregation.

Distribution (Probability theory).

Dynamical Systems and Ergodic Theory.

Manifolds and Cell Complexes (incl. Diff.Topology).

Probability Theory and Stochastic Processes.

Local Subjects:

Dynamical Systems and Ergodic Theory.

Manifolds and Cell Complexes (incl. Diff.Topology).

Probability Theory and Stochastic Processes.

Physical Description:

1 online resource (VIII, 76 pages 10 illustrations).

Edition:

Second revised edition.

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2008.

System Details:

text file PDF

Summary:

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.".

Contents:

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

3.Axiom A diffeomorphisms

A.Definition

B. Spectral decomposition

C.Markov partitions

D.Symbolic dynamics

4.Ergodic theory of Axiom A diffeomorphisms

A.Equilibrium states for basic sets

B.The case phi=phi^(u)

C.Attractors and Anosov diffeormorphisms

Index.

Other Format:

Printed edition:

ISBN:

9783540776956

Access Restriction:

Restricted for use by site license.