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math.PR2025
Asymptotics for the percolation threshold of finitary random interlacements in four and higher dimensions
Yijie Bi, Zhenhao Cai, Xinyi Li +2
We establish sharp asymptotic bounds for the critical intensity of the Finitary Random Interlacements (FRI) model in four and higher dimensions with general trajectory length distr…
math.PR2025
Full extremal process in four-dimensional membrane model
Hao Ge, Xinyi Li, Jiaxi Zhao
We investigate the extremal process of four-dimensional membrane models as the size of the lattice tends to infinity. We prove the cluster-like geometry of the extreme points a…