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Geometry of the central limit theorem in the nonextensive case
Authors:C. Vignat  A. Plastino
Affiliation:a I.G.M., Université de Marne la Vallée, Marne la Vallée, France
b Exact Sci. Fac., National University La Plata and IFLP-CCT-CONICET, C.C. 727, 1900 La Plata, Argentina
Abstract:We uncover geometric aspects that underlie the sum of two independent stochastic variables when both are governed by q-Gaussian probability distributions. The pertinent discussion is given in terms of random vectors uniformly distributed on a p-sphere.
Keywords:
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