169 citations · 1k across the 83 of their papers we have counts for
84 papers
Diameter estimates in Kähler geometry
Bin Guo, Duong H. Phong, Jian Song +1
Diameter estimates for Kähler metrics are established which require only an entropy bound and no lower bound on the Ricci curvature. The proof builds on recent PDE techniques for $…
Hyperbolic Anderson model 2: Strichartz estimates and Stratonovich setting
Xia Chen, Aurélien Deya, Jian Song +1
We study a wave equation in dimension with a multiplicative space-time Gaussian noise. The existence and uniqueness of the Stratonovich solution is obtained under so…
Hitting probabilities of Gaussian random fields and collision of eigenvalues of random matrices
Cheuk Yin Lee, Jian Song, Yimin Xiao +1
Let be a centered Gaussian random field with values in satisfying certain conditions and let be a Borel set.…
Local noncollapsing for complex Monge-Ampère equations
Bin Guo, Jian Song
We prove a local volume noncollapsing estimate for Kähler metrics induced from a family of complex Monge-Ampère equations, assuming a local Ricci curvature lower bound. This local…
Solving the hyperbolic Anderson model 1: Skorohod setting
Xia Chen, Aurélien Deya, Jian Song +1
This paper is concerned with a wave equation in dimension , with a multiplicative space-time Gaussian noise which is fractional in time and homogeneous in space. W…
Recent advances on eigenvalues of matrix-valued stochastic processes
Jian Song, Jianfeng Yao, Wangjun Yuan
Since the introduction of Dyson's Brownian motion in early 1960's, there have been a lot of developments in the investigation of stochastic processes on the space of Hermitian matr…