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Article Dans Une Revue Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques Année : 2017

Supercritical behavior of asymmetric zero-range process with sitewise  disorder

Thomas Mountford
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Ellen Saada
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Résumé

We establish necessary and sufficient conditions for weak convergence to the upper invariant measure for asymmetric nearest neighbour zero range processes with non homogeneous jump rates. The class of environments considered is close to that considered by Andjel, Ferrari, Guiol and Landim, while our class of processes is broader. We also give a simpler proof of a result of Ferrari and Sisko with weaker assumptions.

Dates et versions

hal-01099082 , version 1 (31-12-2014)

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Christophe Bahadoran, Thomas Mountford, K. Ravishankar, Ellen Saada. Supercritical behavior of asymmetric zero-range process with sitewise  disorder . Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2017, 53 (2), pp.766-801. ⟨10.1214/15-AIHP736⟩. ⟨hal-01099082⟩
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