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math.PR2022★ 1 cited
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…
math.PR2022
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…