Eviatar B. Procaccia

activity

20102026

most citedEigenvalue vs perimeter in a shape theorem for self-interacting random walks

11 citations · 75 across the 36 of their papers we have counts for

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Showing 2021Show all

3 papers · 1 filter

math.PR2021★ 1 cited

The chemical distance in random interlacements in the low-intensity regime

Sarai Hernandez-Torres, Eviatar B. Procaccia, Ron Rosenthal

In $Z^{d}$ with $d \geq 5$ , we consider the time constant $ρ_{u}$ associated to the chemical distance in random interlacements at low intensity $u ≪ 1$ . We prove an upper boun…

math.MG2021

Discrete $ℓ^{1}$ 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 $Z^{2}$ is at most the ceiling function plus two of the continuous solution to the Double…

math.PR2021

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 $T$ . The proof uses a result which…

The chemical distance in random interlacements in the low-intensity regime

Discrete ℓ1 Double Bubble solution is at most ceiling +2 of the continuous solution

Continuity and uniqueness of percolation critical parameters in Finitary Random Interlacements

Discrete $ℓ^{1}$ Double Bubble solution is at most ceiling +2 of the continuous solution