The critical contact process on a homogeneous tree
- 1 March 1994
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 31 (01) , 250-255
- https://doi.org/10.1017/s0021900200107491
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
This publication has 3 references indexed in Scilit:
- The Contact Process on TreesThe Annals of Probability, 1992
- Branching random walks on treesStochastic Processes and their Applications, 1992
- The Critical Contact Process Dies OutThe Annals of Probability, 1990