9 citations · 20 across the 4 of their papers we have counts for
5 papers · 1 filter
The contact process on dynamic regular graphs: monotonicity and subcritical phase
Bruno Schapira, Daniel Valesin
We study the contact process on a dynamic random~-regular graph with an edge-switching mechanism, as well as an interacting particle system that arises from the local descriptio…
Phase transition of the contact process on random regular graphs
Jean-Christophe Mourrat, Daniel Valesin
We consider the contact process with infection rate on a random -regular graph with vertices, . We study the extinction time (that is, the random amou…
The contact process on finite homogeneous trees revisited
Michael Cranston, Thomas Mountford, Jean-Christophe Mourrat +1
We consider the contact process with infection rate on , the -ary tree of height . We study the extinction time , that is, the random…
Exponential extinction time of the contact process on finite graphs
Thomas Mountford, Jean-Christophe Mourrat, Daniel Valesin +1
We study the extinction time $\uptau$ of the contact process on finite trees of bounded degree. We show that, if the infection rate is larger than the critical rate for the contact…
Multitype Contact Process on : Extinction and Interface
Daniel Valesin
We consider a two-type contact process on in which both types have equal finite range and supercritical infection rate. We show that a given type becomes extinct with probabil…