Name
Abstract | ||
|---|---|---|
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. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.3390/e19110605 | ENTROPY |
Keywords | Field | DocType |
pseudo-additive entropy,entropic chain rule,conditional entropy,Darotzy's mapping | Discrete mathematics,Mathematical optimization,Entropic uncertainty,Joint quantum entropy,Uniqueness theorem for Poisson's equation,Pure mathematics,Tsallis entropy,Conditional quantum entropy,Conditional entropy,Min entropy,Mathematics,Strong Subadditivity of Quantum Entropy | Journal |
Volume | Issue | ISSN |
19 | 11 | 1099-4300 |
Citations | PageRank | References |
1 | 0.43 | 2 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Petr Jizba | 1 | 1 | 1.11 |
| Jan Korbel | 2 | 5 | 0.99 |