Yushu Zheng

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20222026

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4 papers · 1 filter

math.PR2022

A note on $α$ -permanent and loop soup

Xiaodan Li, Yushu Zheng

In this paper, it is shown that $α$ -permanent in algebra is closely related to loop soup in probability. We give explicit expansions of $α$ -permanents of the block matrices obtaine…

math.NT2022

On the one-sided boundedness of the local discrepancy of ${n α}$ -sequences

Jiangang Ying, Yushu Zheng

The main interest of this article is the one-sided boundedness of the local discrepancy of $α \in R ∖ Q$ on the interval $(0, c) \subset (0, 1)$ defined by \[D_n(…

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 $α$ -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 $α (\geq 0)$ on trees. Then we present the inversion…

A note on α-permanent and loop soup

On the one-sided boundedness of the local discrepancy of {nα}-sequences

Regular subspaces of symmetric stable processes

Inverting Ray-Knight identities on trees

A note on $α$ -permanent and loop soup

On the one-sided boundedness of the local discrepancy of ${n α}$ -sequences