6 citations · 11 across the 7 of their papers we have counts for
7 papers
Gradient Estimate and Harnack Inequality on Non-Compact Riemannian Manifolds
Marc Arnaudon, Anton Thalmaier, Feng-Yu Wang
A new type of gradient estimate is established for diffusion semigroups on non-compact complete Riemannian manifolds. As applications, a global Harnack inequality with power and a…
Poincare Inequality on the Path Space of Poisson Point Processes
Feng-Yu Wang, Chenggui Yuan
The 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 t…
Intrinsic Ultracontractivity on Riemannian Manifolds with Infinite Volume Measures
Feng-Yu Wang
By establishing the intrinsic super-Poincaré inequality, some explicit conditions are presented for diffusion semigroups on a non-compact complete Riemannian manifold to be intrins…
From Super Poincaré to Weighted Log-Sobolev and Entropy-Cost Inequalities
Feng-Yu Wang
We derive weighted log-Sobolev inequalities from a class of super Poincaré inequalities. As an application, the Talagrand inequality with larger distances are obtained. In particul…
Transportation Cost Inequality on Path Spaces with Uniform Distance
Shizan Fang, Feng-Yu Wang, Bo Wu
Starting from a sequence of independent Wright-Fisher diffusion processes on , we construct a class of reversible infinite dimensional diffusion processes on $\DD_\infty:= \…
A Class of Infinite Dimensional Diffusion Processes with Connection to Population Genetics
Shui Feng, Feng-Yu Wang
Starting from a sequence of independent Wright-Fisher diffusion processes on , we construct a class of reversible infinite dimensional diffusion processes on $\DD_\infty:= \…