Supercriticality conditions for asymmetric zero-range process with  sitewise disorder

Christophe Bahadoran (1) , Thomas Mountford (2) , K. Ravishankar (3) , Ellen Saada (4)

1 LMBP - Laboratoire de Mathématiques Blaise Pascal
2 EPFL - Institut de Mathématiques
3 SUNY - Department of Mathematics
4 MAP5 - UMR 8145 - Mathématiques Appliquées Paris 5

We discuss necessary and sufficient conditions for the convergence of disordered asymmetric zero-range process to the critical invariant measures.

Mots clés: {Attractivity; Coupling; Critical invariant measure; Disordered zero range process

Domaines: Probabilités [math.PR]

Christophe Bahadoran, Thomas Mountford, K. Ravishankar, Ellen Saada. Supercriticality conditions for asymmetric zero-range process with  sitewise disorder. Brazilian Journal of Probability and Statistics, 2015, 29 (2), pp.313-335. ⟨10.1214/14-BJPS273⟩. ⟨hal-01097968⟩