2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72785We first give a characterization of the L^1-transportation cost-information inequality on a metric space and next find some appropriate sufficient condition to transportation cost-information inequalities for dependent sequences. Applications to random dynamical systems and diffusions are studied.Published by the Institute of Mathematical Statistics (http://www.imstat.org) in the Annals of Probability (http://www.imstat.org/aop/) at http://dx.doi.org/10.1214/009117904000000531Probability28A35, 28C20, 60E15, 60G15, 60G99, 60H10, 60J60 (Primary)text