Poincare Inequality on the Path Space of Poisson Point Processes

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dc.creatorWang, Feng-Yu
dc.creatorYuan, Chenggui
dc.date2008-01-17
dc.date2008-11-05
dc.date.accessioned2026-07-07T10:15:14Z
dc.date.available2026-07-07T10:15:14Z
dc.descriptionThe quasi-invariance is proved for the distributions of Poisson point processes under a random shift map on the path space. This leads to a natural Dirichlet form of jump type on the path space. Differently from the O-U Dirichlet form on the Wiener space satisfying the log-Sobolev inequality, this Dirichlet form merely satisfies the Poincare inequality but not the log-Sobolev one.
dc.identifierhttps://arxiv.org/abs/0801.2668
dc.identifierhttp://arxiv.org/abs/0801.2668
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173112
dc.subjectProbability
dc.subject60H10;47G20
dc.titlePoincare Inequality on the Path Space of Poisson Point Processes
dc.typetext

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