Ron Rosenthal

activity

20102022

most citedSimplicial complexes: spectrum, homology and random walks

87 citations · 193 across the 17 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★ 6 cited

Behavior of random walk on discrete point processes

Noam Berger, Ron Rosenthal

We consider a model for random walks on random environments (RWRE) with random subset of Z^d as the vertices, and uniform transition probabilities on 2d points (two "coordinate nea…

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…