Introduction to Ergodic Theory

Name: Introduction to Ergodic Theory
Price: 19.72 USD
Availability: InStock
ISBN: 9780691081823

ISBN-10: 0691081824

ISBN-13: 9780691081823

Edition: 1977

Authors: V. Scheffer, Iakov Grigorevich Sinai

List price: $62.95

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Description:

This monograph examines new areas of ergodic theory, describing entropy theory, elements of the renormalization group method in the theory of dynamical systems, the splitting of separatrices, and problems related to the theory of hyperbolic dynamical systems.

Book details

List price: $62.95
Copyright year: 1977
Publisher: Princeton University Press
Publication date: 3/21/1977
Binding: Paperback
Pages: 152
Size: 6.25" wide x 9.00" long x 0.50" tall
Weight: 0.440
Language: English



Introduction



Fundamental Problems of Ergodic Theory



The Problem of the Existence of an Invariant Measure



Translations on Compact Abelian Groups, Their Applications and Generalizations



Certain Applications of Ergodic Theory to the Theory of Numbers



A Second Proof of the Ergodicity of the Rotation of a Circle and Permutations



Dynamical Systems with Continuous Time



Linear Hamiltonian Systems



Ergodic Theory of an Ideal Gas



Geodesic Flows on Riemannian Manifolds



Billiards



Dynamical Systems on the Two Dimensional Torus



Dynamical Systems Arising in the Theory of Probability



Gaussian Systems



The Entropy of a Dynamical System



The Entropy of a Dynamical System (Continuation)


The Entropy of Billiards inside a Polygon