Existence of quasi-stationary measures for asymmetric attractive particle systems on $\ZZ^d$

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dc.creatorAsselah, A.
dc.creatorCastell, F.
dc.date2002-02-28
dc.date.accessioned2026-07-07T04:46:44Z
dc.date.available2026-07-07T04:46:44Z
dc.descriptionWe show the existence of non-trivial quasi-stationary measures for conservative attractive particle systems on $\ZZ^d$ conditioned on avoiding an increasing local set $\A$. Moreover, we exhibit a sequence of measures $\{ν_n\}$, whose $ω$-limit set consists of quasi-stationary measures. For zero range processes, with stationary measure $\nur$, we prove the existence of an $L^2(\nur)$ nonnegative eigenvector for the generator with Dirichlet boundary on $\A$, after establishing a priori bounds on the $\{ν_n\}$.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/math/0202302
dc.identifierhttp://arxiv.org/abs/math/0202302
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63453
dc.subjectProbability
dc.subject60K35; 82C22; 60J25
dc.titleExistence of quasi-stationary measures for asymmetric attractive particle systems on $\ZZ^d$
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