TY  - BOOK
AU  - Bowen,Rufus
AU  - Chazottes,Jean-René
ED  - SpringerLink (Online service)
TI  - Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms
T2  - Lecture Notes in Mathematics,
SN  - 9783540776956
AV  - QA313 
U1  - 515.39 23
PY  - 2008///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Differentiable dynamical systems
KW  - Distribution (Probability theory)
KW  - Cell aggregation
KW  - Dynamical Systems and Ergodic Theory
KW  - Manifolds and Cell Complexes (incl. Diff.Topology)
KW  - Probability Theory and Stochastic Processes
N1  - 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
N2  -  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."
UR  - http://dx.doi.org/10.1007/978-3-540-77695-6
ER  -