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000057936 0247_ $$2doi$$a10.1090/S0002-9939-2014-12401-4
000057936 0248_ $$2sideral$$a97159
000057936 037__ $$aART-2015-97159
000057936 041__ $$aeng
000057936 100__ $$0(orcid)0000-0003-1256-3671$$aAlonso Gutiérrez, David$$uUniversidad de Zaragoza
000057936 245__ $$aOn the Gaussian behavior of marginals and the mean width of random polytopes
000057936 260__ $$c2015
000057936 5060_ $$aAccess copy available to the general public$$fUnrestricted
000057936 5203_ $$aWe 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.
000057936 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/
000057936 590__ $$a0.7$$b2015
000057936 591__ $$aMATHEMATICS$$b123 / 312 = 0.394$$c2015$$dQ2$$eT2
000057936 591__ $$aMATHEMATICS, APPLIED$$b156 / 254 = 0.614$$c2015$$dQ3$$eT2
000057936 592__ $$a1.099$$b2015
000057936 593__ $$aMathematics (miscellaneous)$$c2015$$dQ1
000057936 593__ $$aApplied Mathematics$$c2015$$dQ2
000057936 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/submittedVersion
000057936 700__ $$aProchno, Joscha
000057936 7102_ $$12006$$2015$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Análisis Matemático
000057936 773__ $$g143 (2015), 821-832$$pProc. Am. Math. Soc.$$tPROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY$$x0002-9939
000057936 8564_ $$s187103$$uhttps://zaguan.unizar.es/record/57936/files/texto_completo.pdf$$yPreprint
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000057936 909CO $$ooai:zaguan.unizar.es:57936$$particulos$$pdriver
000057936 951__ $$a2021-01-21-11:03:07
000057936 980__ $$aARTICLE