6 citations · 22 across the 16 of their papers we have counts for
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math.PR2012★ 1 cited
A note on the volume growth criterion for stochastic completeness of weighted graphs
Xueping Huang
We generalize the weak Omori-Yau maximum principle to the setting of strongly local Dirichlet forms. As an application, we obtain an analytic approach to compare the stochastic com…
math.FA2012★ 5 cited
A note on self-adjoint extensions of the Laplacian on weighted graphs
Xueping Huang, Matthias Keller, Jun Masamune +1
We study the uniqueness of self-adjoint and Markovian extensions of the Laplacian on weighted graphs. We first show that, for locally finite graphs and a certain family of metrics,…