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| Fiche détaillée | Preprint, Working Paper, Document sans référence, etc. |
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| On the Dirichlet problem for asymmetric zero-range process on increasing domains |
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| Amine Asselah1 |
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| 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. |
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| 1 : | LATP - Laboratoire d'Analyse, Topologie, Probabilités |
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| hal-00011248, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00011248 | |
| oai:hal.archives-ouvertes.fr:hal-00011248 | |
| Contributeur : Import arXiv | |
| Soumis le : Jeudi 13 Octobre 2005, 22:57:16 | |
| Dernière modification le : Jeudi 13 Octobre 2005, 22:57:16 | |