000070828 001__ 70828 000070828 005__ 20190709135456.0 000070828 0247_ $$2doi$$a10.1016/j.jmaa.2017.05.071 000070828 0248_ $$2sideral$$a99763 000070828 037__ $$aART-2017-99763 000070828 041__ $$aeng 000070828 100__ $$0(orcid)0000-0003-1256-3671$$aAlonso-Gutiérrez, D.$$uUniversidad de Zaragoza 000070828 245__ $$aThe variance conjecture on projections of the cube 000070828 260__ $$c2017 000070828 5060_ $$aAccess copy available to the general public$$fUnrestricted 000070828 5203_ $$aWe 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. 000070828 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E64$$9info:eu-repo/grantAgreement/ES/MICINN/MTM2016-77710-P 000070828 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/ 000070828 590__ $$a1.138$$b2017 000070828 591__ $$aMATHEMATICS$$b53 / 309 = 0.172$$c2017$$dQ1$$eT1 000070828 591__ $$aMATHEMATICS, APPLIED$$b99 / 252 = 0.393$$c2017$$dQ2$$eT2 000070828 592__ $$a1.103$$b2017 000070828 593__ $$aApplied Mathematics$$c2017$$dQ1 000070828 593__ $$aAnalysis$$c2017$$dQ2 000070828 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000070828 700__ $$0(orcid)0000-0002-1344-1425$$aBernués, J.$$uUniversidad de Zaragoza 000070828 7102_ $$12006$$2015$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Análisis Matemático 000070828 773__ $$g455, 1 (2017), 638-649$$pJ. math. anal. appl.$$tJournal of Mathematical Analysis and Applications$$x0022-247X 000070828 8564_ $$s329485$$uhttps://zaguan.unizar.es/record/70828/files/texto_completo.pdf$$yPostprint 000070828 8564_ $$s61290$$uhttps://zaguan.unizar.es/record/70828/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint 000070828 909CO $$ooai:zaguan.unizar.es:70828$$particulos$$pdriver 000070828 951__ $$a2019-07-09-11:43:16 000070828 980__ $$aARTICLE