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Correlated Gaussian systems exhibiting additive power-law entropies

Abstract

We show, on purely statistical grounds and without appeal to any physical model, that a power-law qq-entropy SqS_q, with 0<q<10<q<1, can be {\it extensive}. More specifically, if the components XiX_i of a vector XRNX \in \mathbb{R}^N are distributed according to a Gaussian probability distribution ff, the associated entropy Sq(X)S_q(X) exhibits the extensivity property for special types of correlations among the XiX_i. We also characterize this kind of correlation.Comment: 2 figure

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    Last time updated on 30/01/2019