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dc.contributor.authorChen, Guan-Yuen_US
dc.contributor.authorSaloff-Coste, Laurenten_US
dc.date.accessioned2014-12-08T15:12:41Z-
dc.date.available2014-12-08T15:12:41Z-
dc.date.issued2008-01-20en_US
dc.identifier.issn1083-6489en_US
dc.identifier.urihttp://hdl.handle.net/11536/9757-
dc.description.abstractWe consider the cutoff phenomenon in the context of families of ergodic Markov transition functions. This includes classical examples such as families of ergodic finite Markov chains and Brownian motion on families of compact Riemannian manifolds. We give criteria for the existence of a cutoff when convergence is measured in L(p)-norm, 1 < p < infinity. This allows us to prove the existence of a cutoff in cases where the cutoff time is not explicitly known. In the reversible case, for 1 < p <= infinity, we show that a necessary and sufficient condition for the existence of a max-L(p) cutoff is that the product of the spectral gap by the max-L(p) mixing time tends to infinity. This type of condition was suggested by Yuval Peres. Illustrative examples are discussed.en_US
dc.language.isoen_USen_US
dc.subjectcutoff phenomenonen_US
dc.subjectergodic Markov semigroupsen_US
dc.titleThe cutoff phenomenon for ergodic Markov processesen_US
dc.typeArticleen_US
dc.identifier.journalELECTRONIC JOURNAL OF PROBABILITYen_US
dc.citation.volume13en_US
dc.citation.issueen_US
dc.citation.spage26en_US
dc.citation.epage78en_US
dc.contributor.department應用數學系zh_TW
dc.contributor.departmentDepartment of Applied Mathematicsen_US
dc.identifier.wosnumberWOS:000252525200001-
dc.citation.woscount20-
Appears in Collections:Articles