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A Shannon–Tsallis transformation

Author

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  • Rufeil Fiori, E.
  • Plastino, A.

Abstract

Via a first-order linear differential equation, we determine a general link between two different solutions of the MaxEnt variational problem, namely, the ones that correspond to using either Shannon’s or Tsallis’ entropies in the concomitant variational problem. It is shown that the two variations lead to equivalent solutions that have different appearances but contain the same information. These solutions are linked by our transformation. However, the so-called collision entropy (Tsallis’ one with q=2) does not have a Shannon counterpart.

Suggested Citation

  • Rufeil Fiori, E. & Plastino, A., 2013. "A Shannon–Tsallis transformation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(8), pages 1742-1749.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:8:p:1742-1749
    DOI: 10.1016/j.physa.2012.12.037
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    Cited by:

    1. Balankin, Alexander S. & Bory-Reyes, Juan & Shapiro, Michael, 2016. "Towards a physics on fractals: Differential vector calculus in three-dimensional continuum with fractal metric," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 345-359.

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