Generalised oriented site percolation - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Markov Processes And Related Fields Année : 2022

Generalised oriented site percolation

Résumé

We consider a generalised oriented site percolation model (GOSP) on $\mathbb Z^d$ with arbitrary neighbourhood. The key additional difficulties as compared to standard oriented percolation (OP) are the lack of symmetry and, in two dimensions, of planarity. We establish that, despite these deficiencies, in the supercritical regime GOSP behaves qualitatively like OP.

Dates et versions

hal-03840499 , version 1 (05-11-2022)

Identifiants

Citer

Ivailo Hartarsky, Réka Szabó. Generalised oriented site percolation. Markov Processes And Related Fields, 2022, 28 (2). ⟨hal-03840499⟩
22 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More