LEADER 03280nam 22005175 450 001 9910254091303321 005 20200705084919.0 010 $a1-4471-7287-6 024 7 $a10.1007/978-1-4471-7287-1 035 $a(CKB)3710000001006467 035 $a(DE-He213)978-1-4471-7287-1 035 $a(MiAaPQ)EBC5575376 035 $a(PPN)197134688 035 $a(EXLCZ)993710000001006467 100 $a20161111d2016 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aErgodic Theory and Dynamical Systems /$fby Yves Coudène 205 $a1st ed. 2016. 210 1$aLondon :$cSpringer London :$cImprint: Springer,$d2016. 215 $a1 online resource (XIII, 190 p. 49 illus., 1 illus. in color.) 225 1 $aUniversitext,$x0172-5939 311 $a1-4471-7285-X 320 $aIncludes bibliographical references and index. 327 $aIntroduction -- Part I Ergodic Theory -- The Mean Ergodic Theorem -- The Pointwise Ergodic Theorem -- Mixing -- The Hopf Argument -- Part II Dynamical Systems -- Topological Dynamics -- Nonwandering -- Conjugation -- Linearization -- A Strange Attractor -- Part III Entropy Theory -- Entropy -- Entropy and Information Theory -- Computing Entropy -- Part IV Ergodic Decomposition -- Lebesgue Spaces and Isomorphisms -- Ergodic Decomposition -- Measurable Partitions and -Algebras -- Part V Appendices -- Weak Convergence -- Conditional Expectation -- Topology and Measures -- References. 330 $aThis textbook is a self-contained and easy-to-read introduction to ergodic theory and the theory of dynamical systems, with a particular emphasis on chaotic dynamics. This book contains a broad selection of topics and explores the fundamental ideas of the subject. Starting with basic notions such as ergodicity, mixing, and isomorphisms of dynamical systems, the book then focuses on several chaotic transformations with hyperbolic dynamics, before moving on to topics such as entropy, information theory, ergodic decomposition and measurable partitions. Detailed explanations are accompanied by numerous examples, including interval maps, Bernoulli shifts, toral endomorphisms, geodesic flow on negatively curved manifolds, Morse-Smale systems, rational maps on the Riemann sphere and strange attractors. Ergodic Theory and Dynamical Systems will appeal to graduate students as well as researchers looking for an introduction to the subject. While gentle on the beginning student, the book also contains a number of comments for the more advanced reader. 410 0$aUniversitext,$x0172-5939 606 $aDynamics 606 $aErgodic theory 606 $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X 615 0$aDynamics. 615 0$aErgodic theory. 615 14$aDynamical Systems and Ergodic Theory. 676 $a515.39 676 $a515.48 700 $aCoudène$b Yves$4aut$4http://id.loc.gov/vocabulary/relators/aut$0755906 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254091303321 996 $aErgodic theory and dynamical systems$91523307 997 $aUNINA