The variance conjecture on projections of the cube
Alonso-Gutiérrez, D. (Universidad de Zaragoza) ; Bernués, J. (Universidad de Zaragoza)
Resumen: 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.
Idioma: Inglés
DOI: 10.1016/j.jmaa.2017.05.071
Año: 2017
Publicado en: Journal of Mathematical Analysis and Applications 455, 1 (2017), 638-649
ISSN: 0022-247X
Factor impacto JCR: 1.138 (2017)
Categ. JCR: MATHEMATICS rank: 53 / 309 = 0.172 (2017) - Q1 - T1
Categ. JCR: MATHEMATICS, APPLIED rank: 99 / 252 = 0.393 (2017) - Q2 - T2
Factor impacto SCIMAGO: 1.103 - Applied Mathematics (Q1) - Analysis (Q2)
Financiación: info:eu-repo/grantAgreement/ES/DGA/E64
Financiación: info:eu-repo/grantAgreement/ES/MICINN/MTM2016-77710-P
Tipo y forma: Article (PostPrint)
Área (Departamento): Área Análisis Matemático (Dpto. Matemáticas)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. If you remix, transform, or build upon the material, you may not distribute the modified material.
Exportado de SIDERAL (2019-07-09-11:43:16)
Visitas y descargas
Idioma: Inglés
DOI: 10.1016/j.jmaa.2017.05.071
Año: 2017
Publicado en: Journal of Mathematical Analysis and Applications 455, 1 (2017), 638-649
ISSN: 0022-247X
Factor impacto JCR: 1.138 (2017)
Categ. JCR: MATHEMATICS rank: 53 / 309 = 0.172 (2017) - Q1 - T1
Categ. JCR: MATHEMATICS, APPLIED rank: 99 / 252 = 0.393 (2017) - Q2 - T2
Factor impacto SCIMAGO: 1.103 - Applied Mathematics (Q1) - Analysis (Q2)
Financiación: info:eu-repo/grantAgreement/ES/DGA/E64
Financiación: info:eu-repo/grantAgreement/ES/MICINN/MTM2016-77710-P
Tipo y forma: Article (PostPrint)
Área (Departamento): Área Análisis Matemático (Dpto. Matemáticas)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. If you remix, transform, or build upon the material, you may not distribute the modified material. Exportado de SIDERAL (2019-07-09-11:43:16)
Permalink:
Visitas y descargas
Este artículo se encuentra en las siguientes colecciones:
Articles
Record created 2018-06-01, last modified 2019-07-09