Ergodicity and mixing via Young measures

Z. Artstein, M. Grinfeld

Research output: Contribution to journalArticlepeer-review

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.
Original languageEnglish
Pages (from-to)1001-1015
Number of pages14
JournalErgodic Theory and Dynamical Systems
Volume22
Issue number4
DOIs
Publication statusPublished - 2002

Keywords

  • ergodic theory
  • dynamic systems
  • applied mathematics

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