Songzi Li

activity

20132026

most cited

W

-entropy formula for the Witten Laplacian on manifolds with time dependent metrics and potentials

40 citations · 90 across the 18 of their papers we have counts for

collaborators

Showing 2014Show all

2 papers · 1 filter

math.DG2014★ 13 cited

Harnack inequalities and $W$ -entropy formula for Witten Laplacian on Riemannian manifolds with $K$ -super Perelman Ricci flow

Songzi Li, Xiang-Dong Li

In this paper, we prove logarithmic Sobolev inequalities and derive the Hamilton Harnack inequality for the heat semigroup of the Witten Laplacian on complete Riemannian manifolds…

math.PR2014★ 11 cited

On the Law of Large Numbers for the empirical measure process of Generalized Dyson Brownian motion

Songzi Li, Xiang-Dong Li, Yong-Xiao Xie

We study the generalized Dyson Brownian motion (GDBM) of an interacting $N$ -particle system with logarithmic Coulomb interaction and general potential $V$ . Under reasonable conditi…

Harnack inequalities and W-entropy formula for Witten Laplacian on Riemannian manifolds with K-super Perelman Ricci flow

On the Law of Large Numbers for the empirical measure process of Generalized Dyson Brownian motion

Harnack inequalities and $W$ -entropy formula for Witten Laplacian on Riemannian manifolds with $K$ -super Perelman Ricci flow