2 citations · 5 across the 8 of their papers we have counts for
12 papers
Discrete Double Bubble solution is at most ceiling +2 of the continuous solution
Parker Duncan, Rory O'Dwyer, Eviatar B. Procaccia
In this paper we show that the solution of the discrete Double Bubble problem over is at most the ceiling function plus two of the continuous solution to the Double…
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…
An elementary proof for the Double Bubble problem in norm
Parker Duncan, Rory O'Dwyer, Eviatar B. Procaccia
We study the double bubble problem with perimeter taken with respect to the norm on . We give an elementary proof for the existence of minimizing sets for an…
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…