Introduction to ergodic theory /
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| Author / Creator: | Sinaĭ, I͡A. G. (I͡Akov Grigorʹevich), 1935- |
|---|---|
| Imprint: | Princeton, N.J. : Princeton University Press, 1976. |
| Description: | 144 p. ; 24 cm. |
| Language: | English Russian |
| Series: | Mathematical notes ; 18 Mathematical notes (Princeton University Press) 18. |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/133178 |
Table of Contents:
- Introduction
- Lecture 1.. Fundamental Problems of Ergodic Theory
- Lecture 2.. The Problem of the Existence of an Invariant Measure
- Lecture 3.. Translations on Compact Abelian Groups, Their Applications and Generalizations
- Lecture 4.. Certain Applications of Ergodic Theory to the Theory of Numbers
- Lecture 5.. A Second Proof of the Ergodicity of the Rotation of a Circle and Permutations
- Lecture 6.. Dynamical Systems with Continuous Time
- Lecture 7.. Linear Hamiltonian Systems
- Lecture 8.. Ergodic Theory of an Ideal Gas
- Lecture 9.. Geodesic Flows on Riemannian Manifolds
- Lecture 10.. Billiards
- Lecture 11.. Dynamical Systems on the Two Dimensional Torus
- Lecture 12.. Dynamical Systems Arising in the Theory of Probability
- Lecture 13.. Gaussian Systems
- Lecture 14.. The Entropy of a Dynamical System
- Lecture 15.. The Entropy of a Dynamical System (Continuation)
- The Entropy of Billiards inside a Polygon