Finite-dimensional approximation for the diffusion coefficient in the simple exclusion process

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dc.creatorJara, Milton
dc.date2005-11-10
dc.date2007-03-01
dc.date.accessioned2026-07-07T07:49:20Z
dc.date.available2026-07-07T07:49:20Z
dc.descriptionWe show that for the mean zero simple exclusion process in $\mathbb {Z}^d$ and for the asymmetric simple exclusion process in $\mathbb{Z}^d$ for $d\geq3$, the self-diffusion coefficient of a tagged particle is stable when approximated by simple exclusion processes on large periodic lattices. The proof depends on a similar stability property of the Sobolev inner product associated with the operator.
dc.descriptionPublished at http://dx.doi.org/10.1214/009117906000000449 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/math/0511249
dc.identifierhttp://arxiv.org/abs/math/0511249
dc.identifierAnnals of Probability 2006, Vol. 34, No. 6, 2365-2381
dc.identifierdoi:10.1214/009117906000000449
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124811
dc.subjectProbability
dc.subject60K35 (Primary)
dc.titleFinite-dimensional approximation for the diffusion coefficient in the simple exclusion process
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