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Heat kernel estimates for random walks with degenerate weights (1412.4338v3)
Published 14 Dec 2014 in math.PR and math.AP
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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