TY - JOUR AU - del Barrio, Eustasio AU - González-Sanz, Alberto AU - Hallin, Marc PY - 2020 SN - 0047-259X UR - https://uvadoc.uva.es/handle/10324/82401 AB - We provide sufficient conditions under wich the center-outward distribution and quantile func- tions introduced in Chernozhukov et al. (2017) and Hallin (2017) are homeomorphisms, thereby extending a recent result by Figalli [12]. Our approach... LA - spa PB - Elsevier KW - Estadística KW - Análisis Matemático TI - A note on the regularity of optimal-transport-based center-outward distribution and quantile functions DO - 10.1016/j.jmva.2020.104671 ER -