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math.PR2013★ 2 cited
Upper escape rate of Markov chains on weighted graphs
Xueping Huang, Yuichi Shiozawa
We obtain an upper escape rate function for a continuous time minimal symmetric Markov chain, defined on a locally finite weighted graph. This upper rate function is given in terms…
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…