124 citations · 988 across the 137 of their papers we have counts for
4 papers · 1 filter
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…
On the divine clockwork: the spectral gap for the correspondence limit of the Nelson diffusion generator for the atomic elliptic state
Richard Durran, Andrew Neate, Aubrey Truman +1
The correspondence limit of the atomic elliptic state in three dimensions is discussed in terms of Nelson's stochastic mechanics. In previous work we have shown that this approach…
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…