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dc.contributor.authorQuas, Anthony
dc.contributor.authorSoo, Terry
dc.identifier.citationQuas, Anthony; Soo, Terry. A monotone Sinai theorem. Ann. Probab. 44 (2016), no. 1, 107--130. doi:10.1214/14-AOP968.
dc.description.abstractSinai proved that a nonatomic ergodic measure-preserving system has any Bernoulli shift of no greater entropy as a factor. Given a Bernoulli shift, we show that any other Bernoulli shift that is of strictly less entropy and is stochastically dominated by the original measure can be obtained as a monotone factor; that is, the factor map has the property that for each point in the domain, its image under the factor map is coordinatewise smaller than or equal to the original point.en_US
dc.publisherInstitute of Mathematical Statisticsen_US
dc.subjectSinai factor theoremen_US
dc.subjectStochastic dominationen_US
dc.subjectMonotone couplingen_US
dc.titleA monotone Sinai theoremen_US
kusw.kuauthorSoo, Terry
kusw.oanotesPer SHERPA/RoMEO 11/30/2017: Author's Pre-print: green tick author can archive pre-print (ie pre-refereeing) Author's Post-print: green tick author can archive post-print (ie final draft post-refereeing) Publisher's Version/PDF: green tick author can archive publisher's version/PDF General Conditions:

On author's personal website or open access repository On a non-profit server Version must be exactly as published in the journal Must link to publisher version PDF of all published articles are automatically placed in archiv Publisher's version/PDF may be used NIH authors may post authors' own version in PubMed Central for release 12 months after publication
kusw.oaversionScholarly/refereed, publisher versionen_US
kusw.oapolicyThis item meets KU Open Access policy criteria.en_US

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