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math.PR2021
On the crossing estimates for simple conformal loop ensembles
Tianyi Bai, Yijun Wan
We prove the super-exponential decay of probabilities that there exist crossings of a given quadrilateral in a simple , , as goes to in…
math.PR2020★ 1 cited
Capacity of the range of tree-indexed random walk
Tianyi Bai, Yijun Wan
By introducing a new measure for the infinite Galton-Watson process and providing estimates for (discrete) Green's functions on trees, we establish the asymptotic behavior of the c…
math.PR2019
On the convergence of massive loop-erased random walks to massive SLE(2) curves
Dmitry Chelkak, Yijun Wan
Following the strategy proposed by Makarov and Smirnov in arXiv:0909.5377, we provide technical details for the proof of convergence of massive loop-erased random walks to the chor…