3 papers
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.GR2025
Root group data (RGD) systems of affine type for significant subgroups of isotropic reductive groups over
Yuan Zhang
Given a connected isotropic reductive not necessarily split -group with irreducible relative root system, we construct root group data (RGD) system of affine type…
math.PR2024
Minimal harmonic measure on 2D lattices
Zhenhao Cai, Eviatar B. Procaccia, Yuan Zhang
We study the harmonic measure (i.e. the limit of the hitting distribution of a simple random walk starting from a distant point) on three canonical two-dimensional lattices: the sq…