11 papers
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 and effective resistance between the boundary vertices of a depth- random series--parallel graph, obtained by recursively joining t…
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…
Can the root cluster remain largest forever in random recursive tree percolation?
Yushu Zheng
We consider Bernoulli bond percolation with fixed retention parameter on the random recursive tree, coupled through the natural growth process. We prove that the root cluster h…
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 , . In our previous paper \cite{li2026ldmaxlocal}, the corre…
Large deviations for maximum local time of simple random walk in dimensions
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 , . For downw…
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…