On fractional Brownian motion limits in one dimensional nearest-neighbor symmetric simple exclusion

Simple item page
dc.creatorPeligrad, Magda
dc.creatorSethuraman, Sunder
dc.date2007-10-31
dc.date.accessioned2026-07-07T08:39:50Z
dc.date.available2026-07-07T08:39:50Z
dc.descriptionA well-known result with respect to the one dimensional nearest-neighbor symmetric simple exclusion process is the convergence to fractional Brownian motion with Hurst parameter 1/4, in the sense of finite-dimensional distributions, of the subdiffusively rescaled current across the origin, and the subdiffusively rescaled tagged particle position. The purpose of this note is to improve this convergence to a functional central limit theorem, with respect to the uniform topology, and so complete the solution to a conjecture in the literature with respect to simple exclusion processes.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/0711.0017
dc.identifierhttp://arxiv.org/abs/0711.0017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141209
dc.subjectProbability
dc.subject60K35; 82C20
dc.titleOn fractional Brownian motion limits in one dimensional nearest-neighbor symmetric simple exclusion
dc.typetext

Files

Collections

arXiv