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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…
math.PR2023
On the radius of self-repellent fractional Brownian motion
Le Chen, Sefika Kuzgun, Carl Mueller +1
We study the radius of a self-repellent fractional Brownian motion taking values in . Our sharpest result is for , whe…