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On the q=12 non-extensive maximum entropy distribution

Author

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  • Rebollo-Neira, L
  • Plastino, A
  • Fernandez-Rubio, J

Abstract

A detailed mathematical analysis on the q=12 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”.

Suggested Citation

  • Rebollo-Neira, L & Plastino, A & Fernandez-Rubio, J, 1998. "On the q=12 non-extensive maximum entropy distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 258(3), pages 458-465.
    • Handle: RePEc:eee:phsmap:v:258:y:1998:i:3:p:458-465
    DOI: 10.1016/S0378-4371(98)00116-2
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    Cited by:

    1. López-Rosa, S. & Angulo, J.C. & Dehesa, J.S. & Yáñez, R.J., 2008. "Existence conditions and spreading properties of extreme entropy D-dimensional distributions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(10), pages 2243-2255.

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