Gaussian behaviour and average of marginals for convex bodies

• Autores: Jesús Miguel Bastero Eleizalde, Julio Bernués Pardo
• Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 22, Nº 2, 2007 (Ejemplar dedicado a: Banach space theory: classical topics and new directions. Cáceres 2006), págs. 115-126
• Idioma: inglés
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• Resumen

  • We recall several instances of the so called Central Limit Theorem for convex bodies under different metrics. We prove a Central Limit type theorem which holds for random k-dimensional subspace E  Rn and for a certain class of isotropic bodies.