Optimal tail estimates for directed last passage site percolation with geometric random variables

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dc.creatorBaik, Jinho
dc.creatorDeift, Percy
dc.creatorMcLaughlin, Ken
dc.creatorMiller, Peter
dc.creatorZhou, Xin
dc.date2001-12-16
dc.date.accessioned2026-07-07T04:45:17Z
dc.date.available2026-07-07T04:45:17Z
dc.descriptionIn this paper, we obtain optimal uniform lower tail estimates for the probability distribution of the properly scaled length of the longest up/right path of the last passage site percolation model considered by Johansson in [12]. The estimates are used to prove a lower tail moderate deviation result for the model. The estimates also imply the convergence of moments, and also provide a verification of the universal scaling law relating the longitudinal and the transversal fluctuations of the model.
dc.descriptionAMS-LaTex, 41 pages, 17 figures
dc.identifierhttps://arxiv.org/abs/math/0112162
dc.identifierhttp://arxiv.org/abs/math/0112162
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62899
dc.subjectProbability
dc.subjectMathematical Physics
dc.titleOptimal tail estimates for directed last passage site percolation with geometric random variables
dc.typetext

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