Oriented bond-site percolation in random environment and contact processes with periodic recovery

Benedikt Jahnel; Lukas Lüchtrath; Anh Duc Vu

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arXiv · 2507.00329

Oriented bond-site percolation in random environment and contact processes with periodic recovery

Benedikt Jahnel·Lukas Lüchtrath·Anh Duc Vu

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Abstract

We investigate oriented bond-site percolation on the planar lattice in which entire columns are stretched. Generalising recent results by Hil\'ario et al., we establish non-trivial percolation under a $(1+\varepsilon)$-th moment condition on the stretches and use this to prove survival of contact processes with periodic recoveries as well as in random environments.

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Benedikt Jahnel, Lukas Lüchtrath, Anh Duc Vu. 2025-06-30. Oriented bond-site percolation in random environment and contact processes with periodic recovery. https://arxiv.org/abs/2507.00329

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