On the q=1/2 non-extensive maximum entropy distribution

Abstract

A detailed mathematical analysis on the q=1/2 non-extensive maximum entropy distribution of Tsallis’ is undertaken. The analysis is based upon the splitting of such a distribution into two orthogonal components. One of the components corresponds to the minimum norm solution of the problem posed by the fulfillment of the a priori conditions on the given expectation values. The remaining component takes care of the normalization constraint and is the projection of a constant onto the null space of the “expectation-values transformation”.

Publication DOI: https://doi.org/10.1016/S0378-4371(98)00116-2
Divisions: College of Engineering & Physical Sciences > Mathematics
College of Engineering & Physical Sciences > Systems analytics research institute (SARI)
Additional Information: © 1998 Elsevier Science B.V. All rights reserved.
Uncontrolled Keywords: q=1/2,non-extensive maximum entropy distribution,Tsallis,orthogonal components,normalization constraint,expectation-values transformation
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Related URLs: https://www.sci ... 1162?via%3Dihub (Publisher URL)
PURE Output Type: Article
Published Date: 1998-09-15
Authors: Rebollo - Neira, Laura (ORCID Profile 0000-0002-7420-8977)
Plastino, A.
Fernandez-Rubio, J.

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