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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 , . In our previous paper \cite{li2026ldmaxlocal}, the corre…
math.PR2026
One-arm probabilities for the two-dimensional metric-graph and discrete Gaussian free field
Yijie Bi, Yifan Gao, Xinyi Li
We study the one-arm probability in the level-set percolation of the discrete and metric-graph Gaussian free field (GFF) defined on a box with Dirichlet boundary conditions. For th…