Escort entropies and divergences and related canonical distribution

Details Escort entropies and divergences and related canonical distribution Escort entropies and divergences and related canonical distribution

2011-09-15

arxiv.org/abs/1109.3311v1

Physics Letters A, vol. 375, no. 33, p. 2969-2973, 2011

Physics

Mathematical Physics

Scientific paper

10.1016/j.physleta.2011.06.057

We discuss two families of two-parameter entropies and divergences, derived from the standard R\'enyi and Tsallis entropies and divergences. These divergences and entropies are found as divergences or entropies of escort distributions. Exploiting the nonnegativity of the divergences, we derive the expression of the canonical distribution associated to the new entropies and a observable given as an escort-mean value. We show that this canonical distribution extends, and smoothly connects, the results obtained in nonextensive thermodynamics for the standard and generalized mean value constraints.

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