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math.PR2026
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…
math.PR2024
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…