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Instabilities of Rényi entropies

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Abstract

We show that for systems with a large number of microstates Rényi entropies do not represent experimentally observable quantities except the Rényi entropy that coincides with the Shannon entropy.

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References

  1. Rényi, A.,Wahrscheinlichkeitstheorie (De Gruyter, Berlin, 1974).

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  2. Ruch, E.,Theor. Chim. Acta 38:167 (1975).

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  3. Lesche, B., Hat das Prinzip vom zunehmenden Mischungscharakter Konsequenzen im Bereich makroskopischer Phänomene, die über das Entropieprinzip messbar hinausgehen? Dissertation, TU-Berlin, Berlin (1978) D83.

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Work supported by the DFG (1978); author is recipient of a Feodor-Lynen grant from the Alexander von Humboldt Stiftung.

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Lesche, B. Instabilities of Rényi entropies. J Stat Phys 27, 419–422 (1982). https://doi.org/10.1007/BF01008947

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  • DOI: https://doi.org/10.1007/BF01008947

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