Heat kernel estimates for random walks with degenerate weights

Sebastian Andres, Jean-Dominique Deuschel, Martin Slowik

Research output: Contribution to journalArticlepeer-review

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 integrability assumption. For the proof we use Davies’ perturbation method, where we show a maximal inequality for the perturbed heat kernel via Moser iteration.
Original languageEnglish
Pages (from-to)Paper No. 33, 21
JournalElectronic Journal of Probability
Volume21
Early online date18 Apr 2016
DOIs
Publication statusPublished - 2016

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