Heat kernel estimates and intrinsic metric for random walks with general speed measure under degenerate conductances

Autor:	Andres, Sebastian, Deuschel, Jean-Dominique, Slowik, Martin
Rok vydání:	2017
Předmět:	Mathematics - Probability Mathematics - Analysis of PDEs 39A12 60J35 60K37 82C41
Druh dokumentu:	Working Paper
Popis:	We establish heat kernel upper bounds for a continuous-time random walk under unbounded conductances satisfying an integrability assumption, where we correct and extend recent results by the authors to a general class of speed measures. The resulting heat kernel estimates are governed by the intrinsic metric induced by the speed measure. We also provide a comparison result of this metric with the usual graph distance, which is optimal in the context of the random conductance model with ergodic conductances. Comment: 19 pages; accepted version, to appear in Electron. Commun. Probab
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1711.11119 Zobrazit plný text záznamu View this record from Arxiv