Reply to Comments on "Stability of Tsallis antropy and instabilities of Renyi and normalized Tsallis entropies: A basis for q-exponential distributions"
Sumiyoshi Abe (Institute of Physics, University of Tsukuba, Ibaraki,, Japan)
TL;DR
This paper refutes Bashkirov's comments on the stability of Tsallis entropy and argues that Renyi entropy is not suitable for generalizing Boltzmann-Gibbs statistics in complex systems.
Contribution
It clarifies the stability issues of Tsallis entropy and dismisses the relevance of Renyi entropy for complex system generalizations.
Findings
Bashkirov's comments are refuted
Renyi entropy is deemed irrelevant for complex systems
Stability of Tsallis entropy is reaffirmed
Abstract
Bashkirov's comments (cond-mat/0410667) on the paper [S. Abe, Phys. Rev. E 66, 046134 (2002)] are all refuted. In addition, it is discussed that the Renyi entropy is irrelevant to generalization of Boltzmann-Gibbs statistical mechanics for complex systems.
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