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math.PR2022
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…
math.PR2022
Regular subspaces of symmetric stable processes
Dongjian Qian, Jiangang Ying, Yushu Zheng
Roughly speaking, regular subspaces are regular Dirichlet forms that inherit the original forms with smaller domains. In this paper, regular subspaces of 1-dim symmetric -stable…
math.PR2022
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…