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math.PR2026
Scaling limit of the step-reinforced and stochastic Levy--Lorentz model on weakly entangled integer lattice
Jiaming Chen
This paper describes the stochastic Levy--Lorentz gas driven by general long-range reference random walk on correlated and entangled random medium. Further consideration has been l…
math.PR2026
Small Ball Probabilities for the Stochastic Heat Equation on Compact Manifolds
Jiaming Chen
We consider the stochastic heat equation on a compact smooth Riemannian manifold without boundary satisfying \begin{equation*} \partial_tu(t,x)=\frac{1}{2}Δ_Mu(t,x)+σ(t,x,u)\dot{W}…
math.PR2025
Non-conformality of large deviations of moving average of the random walk in strongly mixing environment
Jiaming Chen
The quenched and annealed large deviations of the random walk in random environment are shown to conform on any compact set whenever the level of disorder is sufficiently low. In t…