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

collaborators

Showing 2011Show all

3 papers · 1 filter

math.PR2011★ 9 cited

Concentration estimates for the isoperimetric constant of the super critical percolation cluster

Eviatar B. Procaccia, Ron Rosenthal

We consider the Cheeger constant $ϕ (n)$ of the giant component of supercritical bond percolation on $Z^{d} / n Z^{d}$ . We show that the variance of $ϕ (n)$ is bounded by…

math.PR2011★ 5 cited

The need for speed : Maximizing random walks speed on fixed environments

Eviatar B. Procaccia, Ron Rosenthal

We study nearest neighbor random walks on fixed environments of $Z$ composed of two point types : $(1/2, 1/2)$ and $(p, 1 - p)$ for $p > 1/2$ . We show that for every environment…

math.PR2011

Geometry of the random interlacement

Eviatar B. Procaccia, Johan Tykesson

We consider the geometry of random interlacements on the $d$ -dimensional lattice. We use ideas from stochastic dimension theory developed in \cite{benjamini2004geometry} to prove t…