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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.PR2020
On the chemical distance exponent for the two-sided level-set of the 2D Gaussian free field
Yifan Gao, Fuxi Zhang
In this paper we introduce the two-sided level-set for the two-dimensional discrete Gaussian free field. Then we investigate the chemical distance for the two-sided level-set perco…