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The contact process with aging

Authors
  • Deshayes, Aurelia
Type
Preprint
Publication Date
Jun 27, 2014
Submission Date
May 23, 2014
Identifiers
arXiv ID: 1405.6153
Source
arXiv
License
Yellow
External links

Abstract

In this article, we introduce a contact process with aging: in this generalization of the classical contact process, each particle has an integer age that influences its ability to give birth. We prove here a shape theorem for this process conditioned to survive. In order to establish some key exponential decays, we adapt the Bezuidenhout and Grimmett construction [BG91] to build a coupling between our process and a supercritical oriented percolation. Our results also apply to the two-stage contact process introduced by Krone [Kro92].

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