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math.PR2024
The Harmonic Descent Chain
David J. Aldous, Svante Janson, Xiaodan Li
The decreasing Markov chain on \{1,2,3, \ldots\} with transition probabilities arises as a key component of the analysis of the beta-splitting random tree mo…
math.PR2020
Markov chain approximations for one dimensional diffusions
Xiaodan Li, Jiangang Ying
The Markov chain approximation of a one-dimensional symmetric diffusion is investigated in this paper. Given an irreducible reflecting diffusion on a closed interval with scale fun…
math.PR2019
Dirichlet forms and polymer models based on stable processes
Liping Li, Xiaodan Li
In this paper, we are concerned with polymer models based on -stable processes, where and stands for dimension. They are attached with a delta…