R. Schonmann

activity

20042009

most citedMetastable behavior for bootstrap percolation on regular trees

13 citations · 21 across the 3 of their papers we have counts for

collaborators

4 papers

math.PR2009★ 8 cited

The survival of large dimensional threshold contact processes

Thomas Mountford, Roberto H. Schonmann

We study the threshold $θ$ contact process on $Z^{d}$ with infection parameter $λ$ . We show that the critical point $λ_{c}$ , defined as the threshold for survival s…

math.PR2009★ 13 cited

Metastable behavior for bootstrap percolation on regular trees

Marek Biskup, Roberto H. Schonmann

We examine bootstrap percolation on a regular (b+1)-ary tree with initial law given by Bernoulli(p). The sites are updated according to the usual rule: a vacant site becomes occupi…

math.PR2006

Threshold $t h e t a g e q 2$ contact processes on homogeneous trees

Luiz Renato Fontes, Roberto H. Schonmann

We study the threshold $t h e t a g e q 2$ contact process on a homogeneous tree $T_{b}$ of degree $k a pp a = b + 1$ , with infection parameter $l amb d a g e q 0$ and started from a product measu…

math-ph2004

3D crystal: how flat its flat facets are?

Thierry Bodineau, Roberto H. Schonmann, Senya Shlosman

We investigate the hypothesis that the (random) crystal of the $(-)$ -phase inside the $(+)$ -phase of the 3D canonical Ising model has flat facets. We argue that it might need to be…

The survival of large dimensional threshold contact processes

Metastable behavior for bootstrap percolation on regular trees

Threshold thetageq2 contact processes on homogeneous trees

3D crystal: how flat its flat facets are?

Threshold $t h e t a g e q 2$ contact processes on homogeneous trees