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Partitions with independent iterates in random dynamical systems

  • Boris Begun*
  • , Andrés Del Junco
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Krengel characterized weakly mixing actions (X,T) as those measure-preserving actions having a dense set of partitions of X with infinitely many jointly independent images under iterates of T. Using the tools developed in later papersone by del Junco, Reinhold and Weiss, another by del Junco and Begunwe prove analogues of these results for weakly mixing random dynamical systems (in other words, relatively weakly mixing systems).

Original languageEnglish
Pages (from-to)361-377
Number of pages17
JournalErgodic Theory and Dynamical Systems
Volume30
Issue number2
DOIs
StatePublished - Apr 2010

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