On the Dirichlet problem for asymmetric zero-range process on increasing domains
概率论
2007-05-23 v1 数学物理
math.MP
摘要
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.
引用
@article{arxiv.math/0309181,
title = {On the Dirichlet problem for asymmetric zero-range process on increasing domains},
author = {Amine Asselah},
journal= {arXiv preprint arXiv:math/0309181},
year = {2007}
}
备注
33 pages http://www.cmi.univ-mrs.fr/~asselah