Partitions with independent iterates in random dynamical systems

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dc.creatorBegun, Boris
dc.creatordel Junco, Andres
dc.date2007-06-12
dc.date.accessioned2026-07-07T08:05:13Z
dc.date.available2026-07-07T08:05:13Z
dc.descriptionConsider an invertible measure-preserving transformation of a probability space. A finite partition of the space is called weakly independent if there are infinitely many images of this partition under powers of the transformation that are jointly independent. Krengel proved that a transformation is weakly mixing if and only if weakly independent partitions of the underlying space are dense among all finite partitions. Using the tools developed in the later papers of del Junco-Reinhold-Weiss and del Junco-Begun we obtain Krengel- type results for weakly mixing random dynamical systems (or equivalently, skew products that are relatively weakly mixing).
dc.identifierhttps://arxiv.org/abs/0706.1607
dc.identifierhttp://arxiv.org/abs/0706.1607
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130209
dc.subjectDynamical Systems
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subjectAnalysis of PDEs
dc.subject37A20
dc.titlePartitions with independent iterates in random dynamical systems
dc.typetext

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