A long-range contact process in a random environment

Benedikt Jahnel; Anh Duc Vu

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arXiv · 2310.12061

A long-range contact process in a random environment

Benedikt Jahnel·Anh Duc Vu

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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.

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Benedikt Jahnel, Anh Duc Vu. 2023-10-18. A long-range contact process in a random environment. https://arxiv.org/abs/2310.12061

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