5 papers
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…
A note on -permanent and loop soup
Xiaodan Li, Yushu Zheng
In this paper, it is shown that -permanent in algebra is closely related to loop soup in probability. We give explicit expansions of -permanents of the block matrices obtaine…
Inverting Ray-Knight identities on trees
Xiaodan Li, Yushu Zheng
In this paper, we first introduce the Ray-Knight identity and percolation Ray-Knight identity related to loop soup with intensity on trees. Then we present the inversion…
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…
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…