124 citations · 988 across the 137 of their papers we have counts for
3 papers · 2 filters
Singular stochastic equations on Hilbert spaces: Harnack inequalities for their transition semigroups
Giuseppe Da Prato, Michael Röckner, Feng-Yu Wang
We consider stochastic equations in Hilbert spaces with singular drift in the framework of [Da Prato, Röckner, PTRF 2002]. We prove a Harnack inequality (in the sense of [Wang, PTR…
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…