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math.PR2015
Super-exponential extinction time of the contact process on random geometric graphs
Van Hao Can
In this paper, we prove lower and upper bounds for the extinction time of the contact process on random geometric graphs with connecting radius tending to infinity. We obtain that…
math.PR2015
Contact process on one-dimensional long-range percolation
Van Hao Can
Recently, by introducing the notion of cumulatively merged partition, Ménard and Singh provide a sufficient condition on graphs ensuring that the critical value of the contact proc…
math.PR2015
Metastability for the contact process on the preferential attachment graph
Van Hao Can
We consider the contact process on the preferential attachment graph. The work of Berger, Borgs, Chayes and Saberi [BBCS1] confirmed physicists predictions that the contact process…