Spectral gap for the zero range process with constant rate

dc.creatorMorris, Ben
dc.date2004-05-10
dc.date2006-11-20
dc.date.accessioned2026-07-07T06:36:46Z
dc.date.available2026-07-07T06:36:46Z
dc.descriptionWe solve an open problem concerning the relaxation time (inverse spectral gap) of the zero range process in $\mathbf {Z}^d/L\mathbf {Z}^d$ with constant rate, proving a tight upper bound of $O((ρ+1)^2L^2)$, where $ρ$ is the density of particles.
dc.descriptionPublished at http://dx.doi.org/10.1214/009117906000000304 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/0405161
dc.identifierhttp://arxiv.org/abs/math/0405161
dc.identifierAnnals of Probability 2006, Vol. 34, No. 5, 1645-1664
dc.identifierdoi:10.1214/009117906000000304
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100192
dc.subjectProbability
dc.subjectMathematical Physics
dc.subject60K35 (Primary) 82C22 (Secondary)
dc.titleSpectral gap for the zero range process with constant rate
dc.typetext

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