Topics in ergodic theory /

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Bibliographic Details
Author / Creator:Sinaĭ, I͡A. G. (I͡Akov Grigorʹevich), 1935-
Imprint:Princeton, N.J. : Princeton University Press, 1994.
Description:vi, 218 p. : ill. ; 25 cm.
Language:English
Series:Princeton mathematical series 44
Subject:
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/1610239
Hidden Bibliographic Details
ISBN:0691032777 : $39.50
Notes:Includes bibliographical references and index.

MARC

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245 1 0 |a Topics in ergodic theory /  |c Ya. G. Sinai. 
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440 0 |a Princeton mathematical series  |v 44 
504 |a Includes bibliographical references and index. 
505 0 0 |g I.  |t General Ergodic Theory.  |t Measurable Transformations.  |t Invariant Measures.  |t Ergodic Theorems.  |t Lebesgue Spaces and Measurable Partitions.  |t Ergodicity and Decomposition into Ergodic Components.  |t Spectrum of Interval Exchange Transformations.  |t Isomorphism of Dynamical Systems.  |t Generators of Dynamical Systems.  |t Dynamical Systems with Pure Point Spectra.  |t General Properties of Eigenfunctions and Eigenvalues of Ergodic Automorphisms.  |t Isomorphism of Dynamical Systems with Pure Point Spectrum --  |g II.  |t Entropy Theory of Dynamical Systems.  |t Entropy Theory of Dynamical Systems.  |t Breiman Theorem.  |t Pinsker Partition.  |t K-Systems.  |t Exact Endomorphisms.  |t Gibbs Measures.  |t Entropy of Dynamical Systems with Multidimensional Time.  |t Systems of Cellular Automata as Dynamical Systems --  |g III.  |t One-Dimensional Dynamics.  |t Continued Fractions and Farey Fractions.  |t Homeomorphisms and Diffeomorphisms of the Circle.  |t Sharkovski's Ordering and Feigenbaum's Universality.  |t Expanding Mappings of the Circie --  |g IV.  |t Two-Dimensional Dynamics.  |t Standard Map.  |t Twist Maps.  |t Periodic Orbits.  |t Aubry-Mather Theory.  |t Periodic Hyperbolic Points, Their Stable and Unstable Manifolds.  |t Homoclinic and Heteroclinic Orbits.  |t Homoclinic and Heteroclinic Points and Stochastic Layers --  |g V.  |t Elements of the Theory of Hyperbolic Dynamical Systems.  |t Geodesic Flows and Their Generalizations.  |t Discontinuous Dynamical Systems.  |t Stable and Unstable Manifolds.  |t Existence of Local Manifolds.  |t Gibbs Measures.  |t Markov Partitions.  |t Theorem for Dynamical Systems.  |t Elements of Thermodynamic Formalism. 
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