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Ergodic Theory and Dynamical Systems (Paperback, 1st ed. 2016)
Loot Price: R2,896
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Ergodic Theory and Dynamical Systems (Paperback, 1st ed. 2016)
Series: Universitext
Expected to ship within 10 - 15 working days
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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.
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