Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms
Bowen, Robert Edward (Rufus).
Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms [electronic resource] / by Robert Edward (Rufus) Bowen, Jean-René Chazottes, David Ruelle. - Second revised edition. - VIII, 76 p. 10 illus. online resource. - Lecture Notes in Mathematics, 470 0075-8434 ; . - Lecture Notes in Mathematics, 470 .
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.
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.".
9783540776956
10.1007/978-3-540-77695-6 doi
Differentiable dynamical systems.
Cell aggregation--Mathematics.
Distribution (Probability theory.
Dynamical Systems and Ergodic Theory.
Manifolds and Cell Complexes (incl. Diff.Topology).
Probability Theory and Stochastic Processes.
QA313
515.39 515.48
Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms [electronic resource] / by Robert Edward (Rufus) Bowen, Jean-René Chazottes, David Ruelle. - Second revised edition. - VIII, 76 p. 10 illus. online resource. - Lecture Notes in Mathematics, 470 0075-8434 ; . - Lecture Notes in Mathematics, 470 .
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.
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.".
9783540776956
10.1007/978-3-540-77695-6 doi
Differentiable dynamical systems.
Cell aggregation--Mathematics.
Distribution (Probability theory.
Dynamical Systems and Ergodic Theory.
Manifolds and Cell Complexes (incl. Diff.Topology).
Probability Theory and Stochastic Processes.
QA313
515.39 515.48