Model theory of probability spaces with an automorphism

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dc.creatorBerenstein, Alexander
dc.creatorHenson, C. Ward
dc.date2004-05-18
dc.date.accessioned2026-07-07T05:08:23Z
dc.date.available2026-07-07T05:08:23Z
dc.descriptionThe class of generic structures among those consisting of the measure algebra of a probability space equipped with an automorphism is axiomatizable by positive sentences interpreted using an approximate semantics. The separable generic structures of this kind are exactly the ones isomorphic to the measure algebra of a standard Lebesgue space equipped with an aperiodic measure-preserving automorphism. The corresponding theory is complete and has quantifier elimination; moreover it is stable with built-in canonical bases. We give an intrinsic characterization of its independence relation.
dc.description31 pages
dc.identifierhttps://arxiv.org/abs/math/0405360
dc.identifierhttp://arxiv.org/abs/math/0405360
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71239
dc.subjectLogic
dc.subjectDynamical Systems
dc.subject03C10;03C20;37A05
dc.titleModel theory of probability spaces with an automorphism
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