3 papers
math.PR2022
An OSSS-type inequality for uniformly drawn subsets of fixed size
Jacob van den Berg, Henk Don
The OSSS inequality [O'Donnell, Saks, Schramm and Servedio, 46th Annual IEEE Symposium on Foundations of Computer Science (FOCS'05), Pittsburgh (2005)] gives an upper bound for the…
math.PR2016
Boundary rules and breaking of self-organized criticality in 2D frozen percolation
Jacob van den Berg, Pierre Nolin
We study frozen percolation on the (planar) triangular lattice, where connected components stop growing ("freeze") as soon as their "size" becomes at least , for some parameter…
math.PR2016
Stochastic Domination in Space-Time for the Contact Process
Jacob van den Berg, Stein Andreas Bethuelsen
Liggett and Steif (2006) proved that, for the supercritical contact process on certain graphs, the upper invariant measure stochastically dominates an i.i.d.\ Bernoulli product mea…