2 citations · 5 across the 9 of their papers we have counts for
11 papers · 1 filter
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…
Continuity and uniqueness of percolation critical parameters in Finitary Random Interlacements
Zhenhao Cai, Eviatar B. Procaccia, Yuan Zhang
We prove that the critical percolation parameter for Finitary Random Interlacements (FRI) is continuous with respect to the path length parameter . The proof uses a result which…
Scaling limit of DLA on a long line segment
Yingxin Mu, Eviatar B. Procaccia, Yuan Zhang
In this paper, we prove that the bulk of DLA starting from a long line segment on the -axis has a scaling limit to the stationary DLA process (SDLA). The main phenomenological d…
Percolation for the Finitary Random interlacements
Eviatar B. Procaccia, Jiayan Ye, Yuan Zhang
In this paper, we prove a phase transition in the connectivity of Finitary Random interlacements in , with respect to the average stopping time.…
Stationary DLA is well defined
Eviatar B. Procaccia, Jiayan Ye, Yuan Zhang
In this paper, we construct an infinite stationary Diffusion Limited Aggregation (SDLA) on the upper half planar lattice, growing from an infinite line, with local growth rate prop…
Stationary Harmonic Measure as the Scaling Limit of Truncated Harmonic Measure
Eviatar B. Procaccia, Jiayan Ye, Yuan Zhang
In this paper we prove that the stationary harmonic measure of an infinite set in the upper planar lattice can be represented as the proper scaling limit of the classical harmonic…