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Heat kernel estimates and intrinsic metric for random walks with general speed measure under degenerate conductances. (arXiv:1711.11119v1 [math.PR])

来源于:arXiv
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. 查看全文>>