2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/125922We provide a new exponential concentration inequality for First Passage Percolation valid for a wide class of edge times distributions. This improves and extends a result by Benjamini, Kalai and Schramm which gave a variance bound for Bernoulli edge times. Our approach is based on some functional inequalities extending the work of Rossignol and Falik and Samorodnitsky.ProbabilityPrimary 60E15; secondary 60K35text