Transportation Cost Inequality on Path Spaces with Uniform Distance

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dc.creatorFang, Shizan
dc.creatorWang, Feng-Yu
dc.creatorWu, Bo
dc.date2007-12-19
dc.date.accessioned2026-07-07T08:50:19Z
dc.date.available2026-07-07T08:50:19Z
dc.descriptionStarting from a sequence of independent Wright-Fisher diffusion processes on $[0,1]$, we construct a class of reversible infinite dimensional diffusion processes on $\DD_\infty:= \{{\bf x}\in Let $M$ be a complete Riemnnian manifold and $μ$ the distribution of the diffusion process generated by $\ff 1 2\DD+Z$ where $Z$ is a $C^1$-vector field. When $\Ric-\nn Z$ is bounded below and $Z$ has, for instance, linear growth, the transportation-cost inequality with respect to the uniform distance is established for $μ$ on the path space over $M$. A simple example is given to show the optimality of the condition.
dc.descriptionto appear in Stochastic Processes and Applications
dc.identifierhttps://arxiv.org/abs/0712.3139
dc.identifierhttp://arxiv.org/abs/0712.3139
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144565
dc.subjectProbability
dc.subjectDifferential Geometry
dc.subject60J60; 58J60
dc.titleTransportation Cost Inequality on Path Spaces with Uniform Distance
dc.typetext

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