The critical contact process in a randomly evolving environment dies out
Artikel i vetenskaplig tidskrift, 2008

Bezuidenhout and Grimmett proved that the critical contact process dies out. Here, we generalize the result to the so called contact process in a random evolving environment (CPREE), introduced by Erik Broman. This process is a generalization of the contact process where the recovery rate can vary between two values. The rate which it chooses is determined by a background process, which evolves independently at different sites. As for the contact process, we can similarly define a critical value in terms of survival for this process. In this paper we prove that this definition is independent of how we start the background process, that finite and infinite survival (meaning nontriviality of the upper invariant measure) are equivalent and finally that the process dies out at criticality.

Författare

Jeffrey Steif

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

Marcus M J Warfheimer

Göteborgs universitet

Chalmers, Matematiska vetenskaper, Matematik

Alea

1980-0436 (ISSN)

Vol. 4 337-357

Ämneskategorier

Annan matematik