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math.PR2025
Random walks in space-time random media in all spatial dimensions: the full subcritical fluctuation regime
Hindy Drillick, Shalin Parekh
In arbitrary spatial dimension , we study a generalized model of random walks in a time-varying random environment (RWRE) defined by a stochastic flow of kernels. We consid…
math.PR2025
Intermediate disorder for directed polymers with space-time correlations
Shalin Parekh
We revisit a result of Hairer-Shen on polymer-type approximations for the stochastic heat equation with a multiplicative noise (SHE) in . We consider a general class of polyme…