On the Dirichlet problem for asymmetric zero-range process on increasing domains - Laboratoire d'Analyse, Topologie, Probabilités Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2003

On the Dirichlet problem for asymmetric zero-range process on increasing domains

Résumé

We characterize the principal eigenvalue of the generator of the asymmetric zero-range process in dimensions d>2, with Dirichlet boundary on special domains. We obtain a Donsker-Varadhan variational representation for the principal eigenvalue, and show that the corresponding eigenfunction is unique in a natural class of functions. This allows us to obtain asymptotic hitting time estimates.

Dates et versions

hal-00011248 , version 1 (13-10-2005)

Identifiants

Citer

Amine Asselah. On the Dirichlet problem for asymmetric zero-range process on increasing domains. 2003. ⟨hal-00011248⟩
98 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More