On the Uniqueness Theorem for Pseudo-Additive Entropies

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F17%3A00317840" target="_blank" >RIV/68407700:21340/17:00317840 - isvavai.cz</a>
Result on the web
<a href="http://www.mdpi.com/1099-4300/19/11/605" target="_blank" >http://www.mdpi.com/1099-4300/19/11/605</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3390/e19110605" target="_blank" >10.3390/e19110605</a>

Result language
angličtina
Original language name
On the Uniqueness Theorem for Pseudo-Additive Entropies
Original language description
The aim of this paper is to show that the Tsallis-type (q-additive) entropic chain rule allows for a wider class of entropic functionals than previously thought. In particular, we point out that the ensuing entropy solutions (e.g., Tsallis entropy) can be determined uniquely only when one fixes the prescription for handling conditional entropies. By using the concept of Kolmogorov-Nagumo quasi-linear means, we prove this with the help of Darotzy's mapping theorem. Our point is further illustrated with a number of explicit examples. Other salient issues, such as connections of conditional entropies with the de Finetti-Kolmogorov theorem for escort distributions and with Landsberg's classification of non-extensive thermodynamic systems are also briefly discussed.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10300 - Physical sciences

Project
<a href="/en/project/GF17-33812L" target="_blank" >GF17-33812L: An information-theoretical perspective on complex systems</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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