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20102014
most citedExponential extinction time of the contact process on finite graphs

9 citations · 20 across the 4 of their papers we have counts for

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5 papers · 1 filter

math.PR2023

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…

math.PR20143 cited

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…

math.PR20148 cited

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…

math.PR20129 cited

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…

math.PR2010

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…