22 citations · 22 across the 6 of their papers we have counts for
4 papers · 1 filter
Percolative MDLA: phase transition and critical behaviour
Eviatar B. Procaccia, Haoyu Wang, Yuan Zhang
In this paper we introduce the model of Percolative MDLA (PMDLA) on which engulfs the entire occupied percolation component of each particle that reaches the aggrega…
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…
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…
Vertex-removal stability and the least positive value of harmonic measures
Zhenhao Cai, Gady Kozma, Eviatar B. Procaccia +1
We prove that for (), the vertex-removal stability of harmonic measures (i.e. it is feasible to remove some vertex while changing the harmonic measure by a b…