Comments on "Stability of Tsallis entropy and instabilities of Renyi and normalized Tsallis entropies: A basis for q-exponential distributions"

TL;DR

This paper discusses the stability of different entropy measures, showing that Renyi entropy is as stable as Tsallis entropy in certain counterexamples, which impacts their applicability in statistical mechanics.

Contribution

It demonstrates the stability of Renyi entropy in cases previously thought to be unstable, challenging prior assumptions about entropy measure stability.

Findings

Renyi entropy is as stable as Tsallis entropy in specific counterexamples

Stability of entropy measures affects their use in statistical mechanics

Provides insights into the robustness of entropy-based distributions

Abstract

It is shown that the Renyi entropy is as stable as the Tsallis entropy at least for Abe-Lesche counterexamples.