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＜E-Book＞
Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms / by Robert Edward Bowen ; edited by Jean-René Chazottes
(Lecture Notes in Mathematics. ISSN:16179692 ; 470)

Edition	2nd ed. 2008.
Publisher	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
Year	2008
Language	English
Size	VIII, 76 p. 10 illus : online resource
Authors	*Bowen, Robert Edward author Chazottes, Jean-René editor SpringerLink (Online service)
Subjects	LCSH:Dynamical systems LCSH:Manifolds (Mathematics) LCSH:Probabilities FREE:Dynamical Systems FREE:Manifolds and Cell Complexes FREE:Probability Theory
Notes	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." HTTP:URL=https://doi.org/10.1007/978-3-540-77695-6

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