Sebastian Andres, Jean-Dominique Deuschel, Martin Slowik
Published 2014-12-14Version 1
We establish Gaussian-type upper bounds on the heat kernel for a continuous-time random walk on a graph with unbounded weights under an ergodicity assumption. For the proof we use Davies' perturbation method, where we show a maximal inequality for the perturbed heat kernel via Moser iteration.
Heat kernel estimates and intrinsic metric for random walks with general speed measure under degenerate conductances
Heat kernel estimates for $Δ+Δ^{α/2}$ under gradient perturbation
Heat kernel estimates for Dirichlet forms degenerate at the boundary
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