A long-range contact process in a random environment
Probability
2023-10-19 v1
Abstract
We study survival and extinction of a long-range infection process on a diluted one-dimensional lattice in discrete time. The infection can spread to distant vertices according to a Pareto distribution, however spreading is also prohibited at random times. We prove a phase transition in the recovery parameter via block arguments. This contributes to a line of research on directed percolation with long-range correlations in nonstabilizing random environments.
Cite
@article{arxiv.2310.12061,
title = {A long-range contact process in a random environment},
author = {Benedikt Jahnel and Anh Duc Vu},
journal= {arXiv preprint arXiv:2310.12061},
year = {2023}
}