Ergodicity and mixing via Young measures

Z. Artstein, M. Grinfeld

Research output: Contribution to journalArticle

Abstract

Connections are established between mixing or ergodic properties of maps on the one hand, and the convergence of the iterates of the map, or of the empirical measures of the iterates, to a constant measure-valued map, on the other. The uniqueness of an absolutely continuous ergodic measure can also be verified via the convergence. The technique helps to identify ergodic and mixing pairs and verify the uniqueness in specific examples.
LanguageEnglish
Pages1001-1015
Number of pages14
JournalErgodic Theory and Dynamical Systems
Volume22
Issue number4
DOIs
Publication statusPublished - 2002

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Young Measures
Ergodicity
Iterate
Uniqueness
Empirical Measures
Ergodic Measure
Absolutely Continuous
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Keywords

  • ergodic theory
  • dynamic systems
  • applied mathematics

Cite this

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Ergodicity and mixing via Young measures. / Artstein, Z.; Grinfeld, M.

In: Ergodic Theory and Dynamical Systems, Vol. 22, No. 4, 2002, p. 1001-1015.

Research output: Contribution to journalArticle

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AU - Grinfeld, M.

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KW - dynamic systems

KW - applied mathematics

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