03286nam 2200625 a 450 991048392380332120200520144314.09783540776956354077695810.1007/978-3-540-77695-6(CKB)1000000000438333(SSID)ssj0000317532(PQKBManifestationID)11246688(PQKBTitleCode)TC0000317532(PQKBWorkID)10294822(PQKB)10422150(DE-He213)978-3-540-77695-6(MiAaPQ)EBC3068701(PPN)220120935(PPN)125218109(EXLCZ)99100000000043833320080212d2008 uy 0engurnn#008mamaatxtccrEquilibrium states and the ergodic theory of Anosov diffeomorphisms /Rufus Bowen ; Jean-Rene Chazottes, editor ; preface by David Ruelle2nd rev. ed.Berlin Springer20081 online resource (VIII, 80 p.)Lecture notes in mathematics,0075-8434 ;470Bibliographic Level Mode of Issuance: Monograph9783540776055 3540776052 Includes bibliographical references and index.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.".Lecture notes in mathematics (Springer-Verlag) ;470.Differentiable dynamical systemsErgodic theoryAnosov diffeomorphismsDifferentiable dynamical systems.Ergodic theory.Anosov diffeomorphisms.515/.39Bowen Rufus1947-1978.45217Chazottes J.-R(Jean-Rene)1756068MiAaPQMiAaPQMiAaPQBOOK9910483923803321Equilibrium states and the ergodic theory of Anosov diffeomorphisms4193161UNINA03029nam 2200601Ia 450 991095462120332120200520144314.00-88385-925-4(CKB)2670000000205131(EBL)3330411(OCoLC)923220178(SSID)ssj0000577627(PQKBManifestationID)11374728(PQKBTitleCode)TC0000577627(PQKBWorkID)10561911(PQKB)11212658(UkCbUP)CR9780883859254(MiAaPQ)EBC3330411(Au-PeEL)EBL3330411(CaPaEBR)ebr10729382(OCoLC)929120256(RPAM)3585286(EXLCZ)99267000000020513120090918d1975 uy 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierGeometric transformationsI /I.M. Yaglom ; translated from the Russian by Allen Shields1st ed.Washington, D.C. Mathematical Association of America19751 online resource (vii, 133 pages) digital, PDF file(s)Anneli Lax new mathematical library ;44Title from publisher's bibliographic system (viewed on 02 Oct 2015).0-88385-608-5 Front Cover -- Geometric Transformations I -- Copyright Page -- CONTENTS -- Translator's Preface -- From the Author's Preface -- Introduction. What is Geometry? -- Chapter I. Displacements -- 1. Translations -- 2. Half Turn and Rotation -- Chapter II. Symmetry -- 1. Reflection and Glide Reflection -- 2. Directly Congruent and Oppositely Congruent Figures. Classification of Isometries of the Plane -- Solutions -- Chapter One. Displacements -- Chapter Two. Symmetry.Almost everyone is acquainted with plane Euclidean geometry as it is usually taught in high school. This book introduces the reader to a completely different way of looking at familiar geometrical facts. It is concerned with transformations of the plane that do not alter the shapes and sized of geometric figures. Such transformations (called isometries) play a fundamental role in the group-theoretic approach to geometry. The treatment is direct and simple, The reader is introduced to new ideas and then is urged to solve problems using these ideas. The problems form an essential part of this book and the solutions are given in detail in the second half of the book.Anneli Lax new mathematical library ;v. 44.Inversions (Geometry)Geometry, ModernInversions (Geometry)Geometry, Modern.516.5IAglom I. M(Isaak Moiseevich),1921-1988.50559Shenitzer Abe49807MiAaPQMiAaPQMiAaPQBOOK9910954621203321Geometric transformations4403474UNINA