40 citations · 126 across the 29 of their papers we have counts for
4 papers · 2 filters
On the -estimates of Riesz transforms on forms over complete Riemanian manifolds
Xiang-Dong Li
In our previous paper \cite{Li2010}, we proved a martingale transform representation formula for the Riesz transforms on forms over complete Riemannian manifolds, and proved some e…
On the -estimates for Beurling-Ahlfors and Riesz transforms on Riemannian manifolds
Xiang-Dong Li
In our previous papers \cite{Li2008, Li2011}, we proved some martingale transform representation formulas for the Riesz transforms and the Beurling-Ahlfors transforms on complete R…
Generalized Dyson Brownian motion, McKean-Vlasov equation and eigenvalues of random matrices
Songzi Li, Xiang-Dong Li, Yong-Xiao Xie
Using Itô's calculus and the mass optimal transportation theory, we study the generalized Dyson Brownian motion (GDBM) and the associated McKean-Vlasov evolution equation with an e…
Hamilton's Harnack inequality and the -entropy formula on complete Riemannian manifolds
Xiang-Dong Li
In this paper, we prove Hamilton's Harnack inequality and the gradient estimates of the logarithmic heat kernel for the Witten Laplacian on complete Riemainnian manifolds. As appli…