The critical contact process on a homogeneous tree

1 March 1994

journal article
Published by Cambridge University Press (CUP) in Journal of Applied Probability

Vol. 31 (1) , 250-255
https://doi.org/10.2307/3215251

Abstract

We prove that the expected number of particles of the critical contact process on a homogeneous tree is bounded above. This is the first graph for which the behavior of the expected number of particles of the critical contact process is known. As an easy corollary of our result we get that the critical contact process dies out on any homogeneous tree. This completes the work of Pemantle (1992).

Keywords

BEHAVIOR
HOMOGENEOUS TREE
CRITICAL CONTACT PROCESS
EASY COROLLARY
PROCESS DIES

This publication has 4 references indexed in Scilit:

The Contact Process on Trees
The Annals of Probability, 1992
Branching random walks on trees
Stochastic Processes and their Applications, 1992
The Critical Contact Process Dies Out
The Annals of Probability, 1990
Interacting Particle Systems
Published by Springer Nature ,1985