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arXiv · 1412.4338

Heat kernel estimates for random walks with degenerate weights

Sebastian Andres·Jean-Dominique Deuschel·Martin Slowik
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Abstract

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.

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Sebastian Andres, Jean-Dominique Deuschel, Martin Slowik. 2014-12-14. Heat kernel estimates for random walks with degenerate weights. https://doi.org/10.1214/16-ejp4382

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