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Partitions with independent iterates in random dynamical systems

Published online by Cambridge University Press:  30 September 2009

BORIS BEGUN  and
ANDRÉS DEL JUNCO
BORIS BEGUN
Affiliation:
Institute of Mathematics, Hebrew University, 91904 Jerusalem, Israel (email: [email protected])
ANDRÉS DEL JUNCO
Affiliation:
Department of Mathematics, University of Toronto, Toronto ON, M5S 2E4, Canada (email: [email protected])
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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 papers—one by del Junco, Reinhold and Weiss, another by del Junco and Begun—we prove analogues of these results for weakly mixing random dynamical systems (in other words, relatively weakly mixing systems).

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 30 , Issue 2 , April 2010 , pp. 361 - 377
Copyright
Copyright © Cambridge University Press 2009

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References

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