Ergodic and mixing sequences of transformations

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15 Scopus citations

Abstract

The notions of ergodicity, strong mixing and weak mixing are defined and studied for arbitrary sequences of measure-preserving transformations of a probability space. Several results, notably ones connected with mean ergodic theorems, are generalized from the case of the sequence of all powers of a single transformation to this case. The conditions for ergodicity, strong mixing and weak mixing of sequences of affine transformations of compact groups are investigated.

Original languageEnglish
Pages (from-to)353-366
Number of pages14
JournalErgodic Theory and Dynamical Systems
Volume4
Issue number3
DOIs
StatePublished - 1 Jan 1984
Externally publishedYes

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics

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