WIAS Preprint No. 3203, (2025)

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


Authors

  • Jahnel, Benedikt
    ORCID: 0000-0002-4212-0065
  • Lüchtrath, Lukas
    ORCID: 0000-0003-4969-806X
  • Vu, Anh Duc
    ORCID: 0009-0005-6913-4992

2020 Mathematics Subject Classification

  • 60K05 60K35 82B43

Keywords

  • Cox processes, generalised graphical representations, random closed sets, renewal processes, columnar disorder, long-range dependencies, randomly stretched lattices

DOI

10.20347/WIAS.PREPRINT.3203

Abstract

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

Download Documents