On ergodic transformations that are both weakly mixing and uniformly rigid

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dc.creatorJames, Jennifer
dc.creatorKoberda, Thomas
dc.creatorLindsey, Kathryn
dc.creatorSilva, Cesar E.
dc.creatorSpeh, Peter
dc.date2008-09-25
dc.date2009-03-14
dc.date.accessioned2026-07-07T12:52:03Z
dc.date.available2026-07-07T12:52:03Z
dc.descriptionWe examine some of the properties of uniformly rigid transformations, and analyze the compatibility of uniform rigidity and (measurable) weak mixing along with some of their asymptotic convergence properties. We show that on Cantor space, there does not exist a finite measure-preserving, totally ergodic, uniformly rigid transformation. We briefly discuss general group actions and show that (measurable) weak mixing and uniform rigidity can coexist in a more general setting.
dc.descriptionRevised version after referee's report
dc.identifierhttps://arxiv.org/abs/0809.4406
dc.identifierhttp://arxiv.org/abs/0809.4406
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223181
dc.subjectDynamical Systems
dc.subject37A05
dc.titleOn ergodic transformations that are both weakly mixing and uniformly rigid
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