Yushu Zheng

activity

20222026

collaborators

11 papers

math.PR2026

Distance and resistance on random series-parallel graphs: logarithmic speeds and near-critical asymptotics

Ruiqi Ding, Zehua He, Yutao Liang +1

We study the graph distance $D_{n} (p)$ and effective resistance $R_{n} (p)$ between the boundary vertices of a depth- $n$ random series--parallel graph, obtained by recursively joining t…

math.PR2026

Gaussian rigidity for infinite exchangeable sequences

Yushu Zheng, Qi Zhou

We prove a Gaussian rigidity theorem for infinite exchangeable sequences of real-valued random variables: the joint Gaussianity of a single pair of entries already forces the entir…

math.PR2026

Can the root cluster remain largest forever in random recursive tree percolation?

Yushu Zheng

We consider Bernoulli bond percolation with fixed retention parameter $p$ on the random recursive tree, coupled through the natural growth process. We prove that the root cluster h…

math.PR2026

Loop pruning and downward deviations for maximum local time of discrete-time simple random walks

Xinyi Li, Yushu Zheng

We study downward deviations of the maximum local time of the discrete-time simple random walk on $Z^{d}$ , $d \geq 3$ . In our previous paper \cite{li2026ldmaxlocal}, the corre…

math.PR2026

Large deviations for maximum local time of simple random walk in dimensions $d \geq 3$

Xinyi Li, Yushu Zheng

We obtain sharp asymptotic probabilities for upward deviations of the maximum local time of discrete- and continuous-time simple random walks on $Z^{d}$ , $d \geq 3$ . For downw…

math.PR2025

From Cannings model to Brownian motion conditioned on local time profile

Xiaodan Li, Chengshi Wang, Yushu Zheng

We study the scaling limits of genealogical trees arising from Cannings models. Under suitable moment conditions, we show that the rescaled contour and height functions converge to…

math.PR2024

Favorite sites for simple random walk in two and more dimensions

Chenxu Hao, Xinyi Li, Izumi Okada +1

On the trace of a discrete-time simple random walk on $Z^{d}$ for $d \geq 2$ , we consider the evolution of favorite sites, i.e., sites that achieve the maximal local time at…

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…

Distance and resistance on random series-parallel graphs: logarithmic speeds and near-critical asymptotics

Gaussian rigidity for infinite exchangeable sequences

Can the root cluster remain largest forever in random recursive tree percolation?

Loop pruning and downward deviations for maximum local time of discrete-time simple random walks

Large deviations for maximum local time of simple random walk in dimensions d≥3

From Cannings model to Brownian motion conditioned on local time profile

Favorite sites for simple random walk in two and more dimensions

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

Large deviations for maximum local time of simple random walk in dimensions $d \geq 3$

A note on $α$ -permanent and loop soup

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