J. van den Berg

activity

20062022

most citedSharpness of the percolation transition in the two-dimensional contact process

14 citations · 30 across the 14 of their papers we have counts for

collaborators

Showing 2010Show all

3 papers · 1 filter

math.PR2010

Escape of resources in distributed clustering processes

J. van den Berg, M. R. Hilário, Alexander E. Holroyd

In a distributed clustering algorithm introduced by Coffman, Courtois, Gilbert and Piret \cite{coffman91}, each vertex of $Z^{d}$ receives an initial amount of a resource, a…

math.PR2010★ 6 cited

Sublinearity of the travel-time variance for dependent first-passage percolation

Jacob van den Berg, Demeter Kiss

Let $E$ be the set of edges of the $d$ -dimensional cubic lattice $Z^{d}$ , with $d \geq 2$ , and let $t (e), e \in E$ , be nonnegative values. The passage time from a vertex $v$ to…

math.PR2010

A percolation process on the square lattice where large finite clusters are frozen

Jacob van den Berg, Bernardo N. B. de Lima, Pierre Nolin

Aldous constructed a growth process for the binary tree where clusters freeze as soon as they become infinite. It was pointed out by Benjamini and Schramm that such a process does…