Space-Time Current Process for Independent Random Walks in One Dimension

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dc.creatorKumar, Rohini
dc.date2008-07-21
dc.date2008-10-21
dc.date.accessioned2026-07-07T10:13:33Z
dc.date.available2026-07-07T10:13:33Z
dc.descriptionIn a system made up of independent random walks, fluctuations of order $n^{1/4}$ from the hydrodynamic limit come from particle current across characteristics. We show that a two-parameter space-time particle current process converges to a two-parameter Gaussian process. These Gaussian processes also appear as the limit for the one-dimensional random average process. The final section of this paper looks at large deviations of the current process.
dc.descriptionto appear in Alea
dc.identifierhttps://arxiv.org/abs/0807.3313
dc.identifierhttp://arxiv.org/abs/0807.3313
dc.identifierALEA Lat. Am. J. Probab. Math. Stat. 4 (2008), 307 -- 336
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172568
dc.subjectProbability
dc.subject60K35, 60F10
dc.titleSpace-Time Current Process for Independent Random Walks in One Dimension
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