Xinyi Li

activity

20132026

most citedA lower bound for disconnection by random interlacements

22 citations · 51 across the 23 of their papers we have counts for

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Showing 2026 · math.PRShow all

3 papers · 2 filters

math.PR2026

Tail exponents of the three-dimensional uniform spanning tree and Abelian sandpile

Xinyi Li, Runsheng Liu, Daisuke Shiraishi

We study the local geometry of the three-dimensional uniform spanning tree and its connection with the Abelian sandpile model. We obtain sharp tail exponents, up to subpolynomial e…

math.PR2026

Generalized intersection exponents and local cut points for three-dimensional Brownian loop soup

Yifan Gao, Ruixuan Li, Xinyi Li

We study generalized non-intersection probabilities for the three-dimensional Brownian loop soup at subcritical intensities. We establish the existence of generalized intersection…

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…

Tail exponents of the three-dimensional uniform spanning tree and Abelian sandpile

Generalized intersection exponents and local cut points for three-dimensional Brownian loop soup

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

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