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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73628We 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 IMRNProbabilityA GUE Central Limit Theorem and Universality of Directed First and Last Passage Site Percolationtext