57936 20210121114521.0 doi 10.1090/S0002-9939-2014-12401-4 sideral 97159 ART-2015-97159 eng (orcid)0000-0003-1256-3671 Alonso Gutiérrez, David Universidad de Zaragoza On the Gaussian behavior of marginals and the mean width of random polytopes 2015 Access copy available to the general public Unrestricted We show that the expected value of the mean width of a random polytope generated by $ N$ random vectors ( $ n\leq N\leq e^{\sqrt n}$) uniformly distributed in an isotropic convex body in $ \mathbb{R}^n$ is of the order $ \sqrt {\log N} L_K$. This completes a result of Dafnis, Giannopoulos and Tsolomitis. We also prove some results in connection with the 1-dimensional marginals of the uniform probability measure on an isotropic convex body, extending the interval in which the average of the distribution functions of those marginals behaves in a sub- or supergaussian way. info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 0.7 2015 MATHEMATICS 123 / 312 = 0.394 2015 Q2 T2 MATHEMATICS, APPLIED 156 / 254 = 0.614 2015 Q3 T2 1.099 2015 Mathematics (miscellaneous) 2015 Q1 Applied Mathematics 2015 Q2 info:eu-repo/semantics/article info:eu-repo/semantics/submittedVersion Prochno, Joscha 2006 015 Universidad de Zaragoza Dpto. Matemáticas Área Análisis Matemático 143 (2015), 821-832 Proc. Am. Math. Soc. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 0002-9939 187103 http://zaguan.unizar.es/record/57936/files/texto_completo.pdf Preprint 68734 http://zaguan.unizar.es/record/57936/files/texto_completo.jpg?subformat=icon icon Preprint oai:zaguan.unizar.es:57936 articulos driver 2021-01-21-11:03:07 ARTICLE