A new class of Ornstein transformations with singular spectrum

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dc.creatorAbdalaoui, El Houcein El
dc.creatorParreau, François
dc.creatorPrikhod'Ko, A. A.
dc.date2005-02-13
dc.date.accessioned2026-07-07T05:16:57Z
dc.date.available2026-07-07T05:16:57Z
dc.descriptionIt is shown that for any family of probability measures in Ornstein type constructions the corresponding transformation has almost surely a singular spectrum. This is a new generalization of Bourgain's theorem, the same result is proved for Rudolph's construction.
dc.description2004
dc.identifierhttps://arxiv.org/abs/math/0502274
dc.identifierhttp://arxiv.org/abs/math/0502274
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74182
dc.subjectDynamical Systems
dc.subjectPrimary : 28D05; secondary : 47A35
dc.titleA new class of Ornstein transformations with singular spectrum
dc.typetext

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