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

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

doi:10.1016/S0378-4371(98)00116-2

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

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

Mathematics

Research output: Contribution to journal › Article › peer-review

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
Pages (from-to)	458-465
Number of pages	8
Journal	Physica A
Volume	258
Issue number	3-4
DOIs	https://doi.org/10.1016/S0378-4371(98)00116-2
Publication status	Published - 15 Sep 1998

Bibliographical note

Keywords

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

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10.1016/S0378-4371(98)00116-2

On the q=12 non-extensive maximum entropy distribution
© 1998 Elsevier Science B.V. All rights reserved.
Accepted author manuscript, 189 KB

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N2 - 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”.

AB - 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”.

KW - q=1/2

KW - non-extensive maximum entropy distribution

KW - Tsallis

KW - orthogonal components

KW - normalization constraint

KW - expectation-values transformation

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SP - 458

EP - 465

JO - Physica A

JF - Physica A

SN - 0378-4371

IS - 3-4

ER -

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

Abstract

Bibliographical note

Keywords

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