# 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 language English 458-465 8 Physica A 258 3-4 https://doi.org/10.1016/S0378-4371(98)00116-2 Published - 15 Sep 1998

### Fingerprint

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

### 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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AU - Rebollo - Neira, Laura

AU - Plastino, A.

AU - Fernandez-Rubio, J.

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