2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/144565Starting 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.to appear in Stochastic Processes and ApplicationsProbabilityDifferential Geometry60J60; 58J60text