LEADER 03286nam 2200625 a 450 001 9910483923803321 005 20200520144314.0 010 $a9783540776956 010 $a3540776958 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 $a20080212d2008 uy 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aEquilibrium states and the ergodic theory of Anosov diffeomorphisms /$fRufus Bowen ; Jean-Rene Chazottes, editor ; preface by David Ruelle 205 $a2nd rev. ed. 210 $aBerlin $cSpringer$d2008 215 $a1 online resource (VIII, 80 p.) 225 1 $aLecture notes in mathematics,$x0075-8434 ;$v470 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a9783540776055 311 08$a3540776052 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 (Springer-Verlag) ;$v470. 606 $aDifferentiable dynamical systems 606 $aErgodic theory 606 $aAnosov diffeomorphisms 615 0$aDifferentiable dynamical systems. 615 0$aErgodic theory. 615 0$aAnosov diffeomorphisms. 676 $a515/.39 700 $aBowen$b Rufus$f1947-1978.$045217 701 $aChazottes$b J.-R$g(Jean-Rene)$01756068 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910483923803321 996 $aEquilibrium states and the ergodic theory of Anosov diffeomorphisms$94193161 997 $aUNINA