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

Laura Rebollo - Neira, A. Plastino, J. Fernandez-Rubio

Research output: Contribution to journalArticle

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”.
Original languageEnglish
Pages (from-to)458-465
Number of pages8
JournalPhysica A
Volume258
Issue number3-4
DOIs
Publication statusPublished - 15 Sep 1998

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Nonextensive Entropy
Maximum Entropy
entropy
applications of mathematics
Null Space
Mathematical Analysis
norms
Normalization
projection
Projection
Norm

Bibliographical note

© 1998 Elsevier Science B.V. All rights reserved.

Keywords

  • q=1/2
  • non-extensive maximum entropy distribution
  • Tsallis
  • orthogonal components
  • normalization constraint
  • expectation-values transformation

Cite this

Rebollo - Neira, Laura ; Plastino, A. ; Fernandez-Rubio, J. / On the q=1/2 non-extensive maximum entropy distribution. In: Physica A. 1998 ; Vol. 258, No. 3-4. pp. 458-465.
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On the q=1/2 non-extensive maximum entropy distribution. / Rebollo - Neira, Laura; Plastino, A.; Fernandez-Rubio, J.

In: Physica A, Vol. 258, No. 3-4, 15.09.1998, p. 458-465.

Research output: Contribution to journalArticle

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