LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	515.39
Dewey Class	515.48
Title	Ergodic Theory and Dynamical Systems ([EBook]) / by Yves Coudène.
Author	Coudène, Yves
Other name(s)	SpringerLink (Online service)
Publication	London : : Springer London : : Imprint: Springer, , 2016.
Physical Details	XIII, 190 p. 49 illus., 1 illus. in color. : online resource.
Series	Universitext 0172-5939
ISBN	9781447172871
Summary Note	This 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.:
Contents note	Introduction -- 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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4471-7287-1
Links to Related Works	Subject References: Dynamical systems and ergodic theory . Dynamics . Ergodic theory . Mathematics . Authors: Coudène, Yves . Corporate Authors: SpringerLink (Online service) . Series: Universitext . Classification: 515.39 . 515.48 .

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Ergodic Theory and Dynamical Systems

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