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Introduction to Ergodic Theory (MN-18), Volume 18 : Preliminary Informal Notes of University Courses and Seminars in Mathematics. (MN-18) - Iakov Grigorevich Sinai

Introduction to Ergodic Theory (MN-18), Volume 18

Preliminary Informal Notes of University Courses and Seminars in Mathematics. (MN-18)

Paperback Published: 21st March 1977
ISBN: 9780691081823
Number Of Pages: 152

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Based on lectures in Erevan, this exposition of ergodic theory contains a rich collection of examples well chosen to introduce the reader to the main themes of the subject. Topics discussed include existence of invariant measures, geodesic flows on Riemannian manifolds, ergodic theory of an ideal gas, and entropy of dynamical systems.

Introductionp. 1
Fundamental Problems of Ergodic Theoryp. 3
The Problem of the Existence of an Invariant Measurep. 16
Translations on Compact Abelian Groups, Their Applications and Generalizationsp. 23
Certain Applications of Ergodic Theory to the Theory of Numbersp. 34
A Second Proof of the Ergodicity of the Rotation of a Circle and Permutationsp. 39
Dynamical Systems with Continuous Timep. 47
Linear Hamiltonian Systemsp. 55
Ergodic Theory of an Ideal Gasp. 64
Geodesic Flows on Riemannian Manifoldsp. 71
Billiardsp. 81
Dynamical Systems on the Two Dimensional Torusp. 90
Dynamical Systems Arising in the Theory of Probabilityp. 98
Gaussian Systemsp. 110
The Entropy of a Dynamical Systemp. 119
The Entropy of a Dynamical System (Continuation)p. 128
The Entropy of Billiards inside a Polygonp. 140
Table of Contents provided by Syndetics. All Rights Reserved.

ISBN: 9780691081823
ISBN-10: 0691081824
Series: Mathematical Notes (Princeton University Press)
Audience: Tertiary; University or College
Format: Paperback
Language: English
Number Of Pages: 152
Published: 21st March 1977
Country of Publication: US
Dimensions (cm): 22.86 x 15.19  x 1.09
Weight (kg): 0.19