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Flow decomposition and stochastic completeness of weighted graphs

Gu, Qingsong et al.
arXiv (All) · Papers
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analysis-of-pdesdifferential-geometryprobability
We give a new proof by flow decomposition of the known Grigor'yan type integral criterion for stochastic completeness of weighted graphs. The main ingredient is a finite-domain estimate relating the mass of a killed $1$-resolvent and the current reaching the boundary to relative capacities of intrin
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