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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}…