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<dc:dc xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:invenio="http://invenio-software.org/elements/1.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd"><dc:identifier>doi:10.1090/S0002-9939-2014-12401-4</dc:identifier><dc:language>eng</dc:language><dc:creator>Alonso Gutiérrez, David</dc:creator><dc:creator>Prochno, Joscha</dc:creator><dc:title>On the Gaussian behavior of marginals and the mean width of random polytopes</dc:title><dc:identifier>ART-2015-97159</dc:identifier><dc:description>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.</dc:description><dc:date>2015</dc:date><dc:source>http://zaguan.unizar.es/record/57936</dc:source><dc:doi>10.1090/S0002-9939-2014-12401-4</dc:doi><dc:identifier>http://zaguan.unizar.es/record/57936</dc:identifier><dc:identifier>oai:zaguan.unizar.es:57936</dc:identifier><dc:identifier.citation>PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 143 (2015), 821-832</dc:identifier.citation><dc:rights>by</dc:rights><dc:rights>http://creativecommons.org/licenses/by/3.0/es/</dc:rights><dc:rights>info:eu-repo/semantics/openAccess</dc:rights></dc:dc>

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