22 citations · 22 across the 6 of their papers we have counts for
7 papers
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…
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…
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…
Transition behavior of the waiting time distribution in a jumping model with the internal state
Zhe Xue, Yuan Zhang, Zhennan Zhou +1
It has been noticed that when the waiting time distribution exhibits a transition from an intermediate time power law decay to a long-time exponential decay in the continuous time…
Characterizing Generic Global Rigidity
Steven J. Gortler, Alexander D. Healy, Dylan P. Thurston
A d-dimensional framework is a graph and a map from its vertices to E^d. Such a framework is globally rigid if it is the only framework in E^d with the same graph and edge lengths,…