doi:10.1016/j.jmaa.2017.05.071engAlonso-Gutiérrez, D.Bernués, J.The variance conjecture on projections of the cubeART-2017-99763We prove that the uniform probability measure µ on every (n-k)-dimensional projection of the n-dimensional unit cube verifies the variance conjecture with an absolute constant C Varµ|x|2=Csup¿¿Sn-1¿Eµ<x, ¿>2Eµ|x|2, provided that 1=k=n. We also prove that if 1=k=n[Formula presented], the conjecture is true for the family of uniform probabilities on its projections on random (n-k)-dimensional subspaces.2017http://zaguan.unizar.es/record/7082810.1016/j.jmaa.2017.05.071http://zaguan.unizar.es/record/70828oai:zaguan.unizar.es:70828info:eu-repo/grantAgreement/ES/DGA/E64info:eu-repo/grantAgreement/ES/MICINN/MTM2016-77710-PJournal of Mathematical Analysis and Applications 455, 1 (2017), 638-649by-nc-ndhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccess