Random matrices ensembles and the extensivity of the Sq entropy

2011/10/13 by A.C. Bertuola, A. C. Bertuola, Bertuola, A. C. +2
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Complex Systems and Time Series Analysis #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Random Matrices and Applications #Statistical Mechanics (cond-mat.stat-mech) #Statistical Mechanics and Entropy #cond-mat.dis-nn #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.1110.2948

12 pages, 3 figures

arxiv created 2011/10/13 · openalex publication_date 2011/10/13 · arxiv updated 2011/10/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the joint density distribution of the elements of certain random matrix models which are example of globally correlated and asymptotically scale-invariant distributions. It is shown that in their cases, the nonadditive entropy S_q is extensive only when the limit q→ 1 is taken. On the other hand, when restriction in the occupation of the phase space is imposed extensiveness is obtained for values of the entropic parameter different of one.

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