Topics in ergodic theory

Topics in ergodic theory

by Sinaĭ, I︠A︡. G., (I︠A︡kov Grigorʹevich)

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Title Statements

  • Full title :Topics in ergodic theory / Ya. G. Sinai.

Edition Statements

  • Publication Date:©1994

Publication Statements

The Physical Object

  • Description:1 online resource (227 pages) : : illustrations.

Edition Identifiers

  • ISBN:1400887259, 9781400887255, 9780691654980, 0691654980, 9780691628318, 0691628319
  • oclc:ocn981954742
  • LC Classification:QA611.5
  • Dewey Decimal:515/.42

Table of Contents

Measurable transformations, invariant measures, ergodic theorems -- Lebesgue spaces and measureable partitions, ergodicity and decomposition into ergodic components, spectrum of interval exchange transformations -- Isomorphism of dynamical systems, generators of dynamical systems -- Dynamical systems with pure point spectra -- General properties of eigenfunctions and eigenvalues of ergodic automorphisms, isomorphism of dynamical systems with pure point spectrum -- Entropy theory of dynamical systems -- Breiman theorem, Pinsker partition, K-systems, exact endomorphisms, Gibbs measures -- Entropy of dynamical systems with multidimensional time, systems of cellular automata as dynamical systems -- Continued fractions and Farey fractions -- Homeomorphisms and diffeomorphisms of the circle -- Sharkovski's ordering and Feigenbaum's universality -- Expanding mappings of the circle -- Standard map, twist maps, periodic orbits, Aubrey-Mather theory -- Periodic hyperbolic points, their stable and unstable manifolds, homoclinic and heteroclinic orbits.

Homoclinic and heteroclinic points and stochastic layers -- Geodesic flows and their generalizations, discontinuous dynamical systems, stabl…

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Subjects

Dynamique topologique Ergodic theory Ergodiciteit Théorie ergodique Topological dynamics

Writers

Sinaĭ, I︠A︡. G., (I︠A︡kov Grigorʹevich)

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