22 citations · 51 across the 23 of their papers we have counts for
4 papers · 1 filter
Sharp asymptotics for arm probabilities in critical planar percolation
Hang Du, Yifan Gao, Xinyi Li +1
In this work, we consider critical planar site percolation on the triangular lattice and derive sharp estimates on the asymptotics of the probability of half-plane -arm events f…
On large deviations and intersection of random interlacements
Xinyi Li, Zijie Zhuang
We investigate random interlacements on with , and derive the large deviation rate for the probability that the capacity of the interlacement set in a macr…
On Natural Measures of SLE- and CLE-Related Random Fractals
Gefei Cai, Xinyi Li
In this paper, we construct and then prove the up-to constants uniqueness of the natural measure on several random fractals, namely the SLE cut points, SLE boundary touching points…
Multiple points on the boundaries of Brownian loop-soup clusters
Yifan Gao, Xinyi Li, Wei Qian
For a Brownian loop soup with intensity in the unit disk, we show that almost surely, the set of simple (resp. double) points on any portion of boundary of any of its c…