Central Limit Theorem for a Tagged Particle in Asymmetric Simple Exclusion

Simple item page
dc.creatorGoncalves, Patricia
dc.date2006-11-16
dc.date2007-01-24
dc.date.accessioned2026-07-07T07:42:38Z
dc.date.available2026-07-07T07:42:38Z
dc.descriptionWe prove a Functional Central Limit Theorem for the position of a Tagged Particle in the one-dimensional Asymmetric Simple Exclusion Process in the hyperbolic scaling, starting from a Bernoulli product measure conditioned to have a particle at the origin. We also prove that the position of the Tagged Particle at time $t$ depends on the initial configuration, by the number of empty sites in the interval $[0,(p-q)αt]$ divided by $α$ in the hyperbolic and in a longer time scale, namely $N^{4/3}$.
dc.description28 pages, no figures
dc.identifierhttps://arxiv.org/abs/math/0611505
dc.identifierhttp://arxiv.org/abs/math/0611505
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122515
dc.subjectProbability
dc.subject60K35
dc.titleCentral Limit Theorem for a Tagged Particle in Asymmetric Simple Exclusion
dc.typetext

Files

Collections

arXiv