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Super-Exponential Extinction Time of the Contact Process on Random Geometric Graphs

Published online by Cambridge University Press:  01 August 2017

VAN HAO CAN
VAN HAO CAN*
Affiliation:
Aix Marseille Université, CNRS, Centrale Marseille, I2M, UMR 7373, 13453 Marseille, France Institute of Mathematics, Vietnam Academy of Science and Technology, 18 Hoang Quoc Viet, 10307 Ha Noi, Vietnam (e-mail: [email protected])
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Abstract

In this paper we prove lower and upper bounds for the extinction time of the contact process on random geometric graphs with connection radius tending to infinity. We obtain that for any infection rate λ > 0, the contact process on these graphs survives a time super-exponential in the number of vertices.

Keywords

Primary 82C22Secondary 05C80
Type
Paper
Information
Combinatorics, Probability and Computing , Volume 27 , Issue 2 , March 2018 , pp. 162 - 185
Copyright
Copyright © Cambridge University Press 2017 

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