On the continuity and Lesche stability of Tsallis and Rényi entropies and q-expectation values

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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8 pages

Scientific paper

It is shown that the R\'enyi and Tsallis entropies and the q-expectation
values, are continuous and stable if $q>1$ and are not continuous and instable
for uniform finite distributions if $q<1$.

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