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cond-mat.stat-mech2005★ 1 cited
Comments on paper by B.Lesche (Phys. Rev. E {\bf 70}, 017102 (2004)) "Renyi entropies and observables"
A. G. Bashkirov
It is shown that Lesche's conclusions on instability of the Renyi entropy are the same for the Tsallis entropy, as well. Moreover, they are unjustified for both entropies.
cond-mat.stat-mech2004
The Renyi entropy as a "free entropy" for complex systems
A. G. Bashkirov
The Boltzmann entropy is true in the case of equal probability of all microstates of a system. In the opposite case it should be averaged over all microstates that gives…
cond-mat.stat-mech2002
On the Renyi entropy, Boltzmann Principle, Levy and power-law distributions and Renyi parameter
Andrei G. Bashkirov
The Renyi entropy with a free Renyi parameter is the most justified form of information entropy, and the Tsallis entropy may be regarded as a linear approximation to the Renyi…