2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/160494We prove that an approximated version of the Brunn--Minkowski inequality with volume distortion coefficient implies a Gaussian concentration-of-measure phenomenon. Our main theorem is applicable to discrete spaces.4pagesDifferential GeometryProbability53C21, 60E15Concentration of measure via approximated Brunn--Minkowski inequalitiestext