Increasing coupling of probabilistic cellular automata - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Statistics and Probability Letters Année : 2005

Increasing coupling of probabilistic cellular automata

Résumé

We give a necessary and sufficient condition for the existence of an increasing coupling of N ($N\geq 2$) synchronous dynamics on $S^{\mathbb Z^d}$ (PCA). Increasing means the coupling preserves stochastic ordering. We first present our main construction theorem in the case where S is totally ordered, applications to attractive PCA's are given. When S is only partially ordered, we show on two examples that a coupling of more than two synchronous dynamics may not exist. We also prove an extension of our main result for a particular class of partially ordered spaces.

Dates et versions

hal-01287462 , version 1 (13-03-2016)

Identifiants

Citer

Pierre-Yves Louis. Increasing coupling of probabilistic cellular automata. Statistics and Probability Letters, 2005, ⟨10.1016/j.spl.2005.04.021⟩. ⟨hal-01287462⟩
67 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More