Superdiffusivity of occupation-time variance in 2-dimensional asymmetric processes with density 1/2

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dc.creatorSethuraman, Sunder
dc.date2004-10-06
dc.date.accessioned2026-07-07T05:13:00Z
dc.date.available2026-07-07T05:13:00Z
dc.descriptionWe compute that the growth of the origin occupation-time variance up to time t in dimension d=2 with respect to asymmetric simple exclusion in equilibrium with density 1/2 is in a certain sense at least t(log(log t)) for general rates, and at least t(log t)^{1/2} for rates which are asymmetric only in the direction of one of the axes. These estimates are consistent with conjectures with respect to the transition function and variance of 'second-class' particles.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0410183
dc.identifierhttp://arxiv.org/abs/math/0410183
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72792
dc.subjectProbability
dc.subject60K35
dc.titleSuperdiffusivity of occupation-time variance in 2-dimensional asymmetric processes with density 1/2
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