3 citations · 5 across the 8 of their papers we have counts for
8 papers
Sharp Riemannian heat kernel estimates on the cut locus and the Parabolic Anderson model
Hongyi Chen, Robert Neel, Cheng Ouyang
Using sharp global heat kernel bounds and geodesic comparison geometry, we show that the Dalang condition for well-posedness of the parabolic Anderson model with measure-valued ini…
A class of d-dimensional directed polymers in a Gaussian environment
Le Chen, Cheng Ouyang, Samy Tindel +1
We introduce and analyze a broad class of continuous directed polymers in driven by Gaussian environments that are white in time and spatially correlated, under Dala…
Parabolic Anderson Model in Hyperbolic Spaces and Phase Transition
Xi Geng, Cheng Ouyang
Consider a Parabolic Anderson model (PAM) with Gaussian noise that is white in time and colored in space, where the spatial correlation decays polynomially with order . In Eucli…
Weighted Besov spaces on Heisenberg groups and applications to the Parabolic Anderson model
Fabrice Baudoin, Li Chen, Che-Hung Huang +3
This article aims at a proper definition and resolution of the parabolic Anderson model on Heisenberg groups . This stochastic PDE is understood in a pathwise (Stra…
Moment estimates for the stochastic heat equation on Cartan-Hadamard manifolds
Fabrice Baudoin, Hongyi Chen, Cheng Ouyang
We study the effect of curvature on the Parabolic Anderson model by posing it over a Cartan-Hadamard manifold. We first construct a family of noises white in time and colored in sp…
Precise Local Estimates for Hypoelliptic Differential Equations driven by Fractional Brownian Motions
Xi Geng, Cheng Ouyang, Samy Tindel
This article is concerned with stochastic differential equations driven by a dimensional fractional Brownian motion with Hurst parameter , understood in the rough paths…