Skip to Main content Skip to Navigation

The contact process with aging

Aurelia Deshayes 1, *
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].
Document type :
Preprints, Working Papers, ...
Complete list of metadatas

Cited literature [14 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-00995749
Contributor : Aurelia Deshayes <>
Submitted on : Friday, June 27, 2014 - 11:51:31 AM
Last modification on : Wednesday, October 17, 2018 - 4:29:38 PM
Document(s) archivé(s) le : Saturday, September 27, 2014 - 11:16:17 AM

Files

article.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-00995749, version 2
  • ARXIV : 1405.6153

Collections

Relations

Citation

Aurelia Deshayes. The contact process with aging. 2014. ⟨hal-00995749v2⟩

Share

Metrics

Record views

223

Files downloads

146