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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
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…