5 papers · 1 filter
Local limit theorems for a directed random walk on the backbone of a supercritical oriented percolation cluster
Stein Andreas Bethuelsen, Matthias Birkner, Andrej Depperschmidt +1
We consider a directed random walk on the backbone of the supercritical oriented percolation cluster in dimensions with being the spatial dimension. For this random…
Graph constructions for the contact process with a prescribed critical rate
Stein Andreas Bethuelsen, Gabriel Baptista da Silva, Daniel Valesin
We construct graphs (trees of bounded degree) on which the contact process has critical rate (which will be the same for both global and local survival) equal to any prescribed val…
On projections of the supercritical contact process: uniform mixing and cutoff phenomenon
Stein Andreas Bethuelsen
We consider the contact process on a countable-infinite and connected graph of bounded degree. For this process started from the upper invariant measure, we prove certain uniform m…
One-sided continuity properties for the Schonmann projection
Stein Andreas Bethuelsen, Diana Conache
We consider the plus-phase of the two-dimensional Ising model below the critical temperature. In Schonmann proved that the projection of this measure onto a one-dimensional…
The contact process as seen from a random walk
Stein Andreas Bethuelsen
We consider a random walk on top of the contact process on with . In particular, we focus on the "contact process as seen from the random walk". Under the a…