Up to now,we have some good sufficient conditions(such as Kanda-Forst condition,Rao's condition and the extended Kanda-Forst-Rao condition etc.)for a Lévy
This talk some results on the weak and strong solutions to the stochastic differential equation dX(t)=-1/2(W)(X(t))dt+dB(t),where(B(t),t≥ 0)is a standard B
In this talk,limiting distribution and limiting process of a Markov process conditioned on certain rare events will be discussed.Some large deviation consid
In this talk,we will first review Perelman's W-entropy formula for Ricci flow and the W-entropy formula for the heat equation of the Witten Laplacian on com
Earlier work by Diaconis and Saloff-Coste gives a spectral criterion for a maximum separation cutoff to occur for birth and death chains.Ding,Lubetzky and P
A well known theorem of Delmotte is that Gaussian bounds,parabolic Harnack inequality,and the combination of volume doubling and Poincaré inequality are eq