5 citations · 18 across the 22 of their papers we have counts for
21 papers · 1 filter
Global Geometry within an SPDE Well-Posedness Problem
Hongyi Chen, Cheng Ouyang
On a closed Riemannian manifold, we construct a family of intrinsic Gaussian noises indexed by a regularity parameter to study the well-posedness of the parabolic Anderson…
On ergodic properties of stochastic PDEs
Le Chen, Cheng Ouyang, Samy Tindel +1
In this note we review several situations in which stochastic PDEs exhibit ergodic properties. We begin with the basic dissipative conditions, as stated by Da Prato and Zabczyk in…
Parabolic Anderson model in bounded domains of recurrent metric measure spaces
Fabrice Baudoin, Li Chen, Che-Hung Huang +3
A metric measure space equipped with a Dirichlet form is called recurrent if its Hausdorff dimension is less than its walk dimension. In bounded domains of such spaces we study the…
Parabolic Anderson model with colored noise on torus
Le Chen, Cheng Ouyang, William Vickery
We construct an intrinsic family of Gaussian noises on -dimensional flat torus . It is the analogue of the colored noise on , and allows us to study…
Parabolic Anderson model on Heisenberg groups: the Itô setting
Fabrice Baudoin, Cheng Ouyang, Samy Tindel +1
In this note we focus our attention on a stochastic heat equation defined on the Heisenberg group of order . This equation is written as $\partial_t u=\frac{1}{…
Precise Local Estimates for Differential Equations driven by Fractional Brownian Motion: Hypoelliptic Case
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…