可配称跳过程指数衰减的判别条件
Criteria for Exponential Decay of Symmetric Jump Processes
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摘要: 本文给出了可配称跳过程指数衰减的两个判别条件,它们类似于马氏过程指数遍历的MeynTweedie漂移条件.这两个判别条件的构造分别基于Dirichlet特征值的漂移条件和h变换算子理论.Abstract: We present two kinds of suffcient conditions for the exponential decay of symmetric jump processes. These conditions are analogous to the Meyn-Tweedie’s drift conditions for exponentially ergodic Markov processes. These criteria are based on the drift condition for the Dirichlet eigenvalue and the theory of h-transform operator, respectively.