Authors: Amine Asselah
Publish Date: 2004/07/05
Volume: 131, Issue: 1, Pages: 62-96
Abstract
In order to obtain hitting time estimates for the asymmetric zerorange process AZRP on ℤ d in dimensions d≥3 we characterize the principal eigenvalue of the generator of the AZRP with Dirichlet boundary on special domains We obtain a DonskerVaradhan variational representation and show that the corresponding eigenfunction is unique in a natural class of functions
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