A GUE Central Limit Theorem and Universality of Directed First and Last Passage Site Percolation

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We prove a GUE central limit theorem for random variables with finite fourth moment. We apply this theorem to prove that the directed first and last passage percolation problems in thin rectangles exhibit universal fluctuations given by the Tracy-Widom law.
8 pages. To appear in IMRN

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Probability

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http://salesiana.dossiersoluciones.com/handle/123456789/73628

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0412369
 http://arxiv.org/abs/math/0412369

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arXiv