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＜電子ブック＞
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)

版	2nd ed. 2008.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2008
本文言語	英語
大きさ	VIII, 76 p. 10 illus : online resource
著者標目	*Bowen, Robert Edward author Chazottes, Jean-René editor SpringerLink (Online service)
件　名	LCSH:Dynamical systems LCSH:Manifolds (Mathematics) LCSH:Probabilities FREE:Dynamical Systems FREE:Manifolds and Cell Complexes FREE:Probability Theory
一般注記	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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