2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/119413The paper reexamines an argument by Talagrand that leads to a remarkable exponential tail bound for the concentration of probability near a set. The main novelty is the replacement of a mysterious Calculus inequality by an application of Jensen's inequality.To appear in Festschrift for Piet GroeneboomProbabilityCombinatorics62E20text