8 citations · 19 across the 7 of their papers we have counts for
5 papers · 1 filter
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…
On some threshold-one attractive interacting particle systems on homogeneous trees
Yingxin Mu, Yuan Zhang
In this paper, we consider the threshold-one contact process and the threshold-one voter model w/o spontaneous death on homogeneous trees , . Mainly inspired…
Coexistence of grass, saplings and trees in the Staver-Levin forest model
Rick Durrett, Yuan Zhang
In this paper, we consider two attractive stochastic spatial models in which each site can be in state 0, 1 or 2: Krone's model in which 0vacant, 1juvenile and 2${}={…