Asymptotic couplings by reflection are constructed for a class of nonlinear monotone SPDEs (s-tochastic partial differential equations). As applications, gr
We discuss notions of stochastic differential geometry in the framework of manifolds evolving along a geometric flow. In this context we deal with Brownian
We consider the diffusion semigroup (Pt)t≥0 associated to the It(o) SDE with non-uniformly dissipative drift coefficient. By adopting the coupling by refle
In this talk, I will present some results in the study of Bakry-Emery curvature, heat kernel analysis and Perelman type entropy for subelliptic operators. I
The Kaimanovich-Vershik entropy is an important tool in the Martin boundary theory to characterize the triviality of bounded harmonic functions. The purpose
We discuss properties of solutions to heat equations under Ricci flow and explain how entropy formulas can be derived using methods of Stochastic Analysis.
Using stochastic forward-backward differential system, we will give the representations for Navier-Stokes equation, stochastic Navier stokes equation and Na
Bufonis Venenum(toad venom)is always used for analgesia in China from ancient to modern times.Bufalin,a non-peptide toxin extracted from Bufonis Venenum,are
In this talk, we will first prove the W-entropy formulas for the heat equation associated with the Witten Laplacian on super Ricci flows on Riemannian manif