70828 20190709135456.0 doi 10.1016/j.jmaa.2017.05.071 sideral 99763 ART-2017-99763 eng (orcid)0000-0003-1256-3671 Alonso-Gutiérrez, D. Universidad de Zaragoza The variance conjecture on projections of the cube 2017 Access copy available to the general public Unrestricted We 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. info:eu-repo/grantAgreement/ES/DGA/E64 info:eu-repo/grantAgreement/ES/MICINN/MTM2016-77710-P info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 1.138 2017 MATHEMATICS 53 / 309 = 0.172 2017 Q1 T1 MATHEMATICS, APPLIED 99 / 252 = 0.393 2017 Q2 T2 1.103 2017 Applied Mathematics 2017 Q1 Analysis 2017 Q2 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion (orcid)0000-0002-1344-1425 Bernués, J. Universidad de Zaragoza 2006 015 Universidad de Zaragoza Dpto. Matemáticas Área Análisis Matemático 455, 1 (2017), 638-649 J. math. anal. appl. Journal of Mathematical Analysis and Applications 0022-247X 329485 http://zaguan.unizar.es/record/70828/files/texto_completo.pdf Postprint 61290 http://zaguan.unizar.es/record/70828/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:70828 articulos driver 2019-07-09-11:43:16 ARTICLE