For an epidemic on a zero-range process, the authors prove a non-trivial critical density for extinction versus survival at every healing rate, and a critical healing threshold at low densities.
How can a clairvoyant particle escape the exclusion process?Annales de l’Institut Henri Poincar´ e, Probabilit´ es et Statistiques, 54(4):2177–2202, 2018
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Epidemic Phase Transitions in the Zero-Range Process
For an epidemic on a zero-range process, the authors prove a non-trivial critical density for extinction versus survival at every healing rate, and a critical healing threshold at low densities.