2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73937We give a new proof of the free transportation cost inequality for measures on the circle following M. Ledoux's idea.8 pagesOperator AlgebrasProbabilityPrimary: 46L54; secondary: 60E15, 94A17, 15A52A free analogue of the transportation cost inequality on the circletext