Martin Slowik

activity

20132026

most citedInvariance principle for the random conductance model in a degenerate ergodic environment

52 citations · 247 across the 19 of their papers we have counts for

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Showing 2023 · math.PRShow all

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math.PR2023

Invariance principle and local limit theorem for a class of random conductance models with long-range jumps

Sebastian Andres, Martin Slowik

We study continuous time random walks on $Z^{d}$ (with $d \geq 2$ ) among random conductances ${ω ({x, y}) : x, y \in Z^{d}}$ that permit jumps of arbitrary length.…

math.PR2023

Gradient estimates of the heat kernel for random walks among time-dependent random conductances

Jean-Dominique Deuschel, Takashi Kumagai, Martin Slowik

In this paper we consider a time-continuous random walk in $Z^{d}$ in a dynamical random environment with symmetric jump rates to nearest neighbours. We assume that these ra…