4 papers · 1 filter
Strong local nondeterminism for stochastic time-fractional slow and fast diffusion equations
Le Chen, Cheuk Yin Lee, Panqiu Xia
We study a class of stochastic time-fractional equations on driven by a centered Gaussian noise, involving a Caputo time derivative of order , a fractional (pow…
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…
Asymptotic analysis for stationary distributions of scaled reaction networks
Linard Hoessly, Carsten Wiuf, Panqiu Xia
We study stationary distributions in the context of stochastic reaction networks. In particular, we are interested in complex balanced reaction networks and reduction of such netwo…
Moment asymptotics for super-Brownian motions
Yaozhong Hu, Xiong Wang, Panqiu Xia +1
In this paper, long time and high order moment asymptotics for super-Brownian motions (sBm's) are studied. By using a moment formula for sBm's (e.g. Theorem 3.1, Hu et al. Ann. App…