LEADER 03502nam 22006375 450 001 996466858803316 005 20230412150142.0 010 $a3-540-77695-8 024 7 $a10.1007/978-3-540-77695-6 035 $a(CKB)1000000000438333 035 $a(SSID)ssj0000317532 035 $a(PQKBManifestationID)11246688 035 $a(PQKBTitleCode)TC0000317532 035 $a(PQKBWorkID)10294822 035 $a(PQKB)10422150 035 $a(DE-He213)978-3-540-77695-6 035 $a(MiAaPQ)EBC3068701 035 $z(PPN)220120935 035 $a(PPN)125218109 035 $a(EXLCZ)991000000000438333 100 $a20100301d2008 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aEquilibrium States and the Ergodic Theory of Anosov Diffeomorphisms$b[electronic resource] /$fby Robert Edward Bowen ; edited by Jean-René Chazottes 205 $a2nd ed. 2008. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2008. 215 $a1 online resource (VIII, 80 p.) 225 1 $aLecture Notes in Mathematics,$x1617-9692 ;$v470 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-77605-2 320 $aIncludes bibliographical references and index. 327 $aPreface 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. 330 $a For this printing of R. Bowen's book, J.-R. Chazottes has retyped it in TeX for easier reading, thereby correcting typos and bibliographic details. From the Preface by D. Ruelle: "Rufus Bowen has left us a masterpiece of mathematical exposition... Here a number of results which were new at the time are presented in such a clear and lucid style that Bowen's monograph immediately became a classic. More than thirty years later, many new results have been proved in this area, but the volume is as useful as ever because it remains the best introduction to the basics of the ergodic theory of hyperbolic systems.". 410 0$aLecture Notes in Mathematics,$x1617-9692 ;$v470 606 $aDynamical systems 606 $aManifolds (Mathematics) 606 $aProbabilities 606 $aDynamical Systems 606 $aManifolds and Cell Complexes 606 $aProbability Theory 615 0$aDynamical systems. 615 0$aManifolds (Mathematics). 615 0$aProbabilities. 615 14$aDynamical Systems. 615 24$aManifolds and Cell Complexes. 615 24$aProbability Theory. 676 $a515/.39 700 $aBowen$b Robert Edward$4aut$4http://id.loc.gov/vocabulary/relators/aut$01206775 702 $aChazottes$b Jean-René$4edt$4http://id.loc.gov/vocabulary/relators/edt 906 $aBOOK 912 $a996466858803316 996 $aEquilibrium States and the Ergodic Theory of Anosov Diffeomorphisms$92783893 997 $aUNISA