Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7378863 | Physica A: Statistical Mechanics and its Applications | 2016 | 20 Pages |
Abstract
We combine an axiomatics of Rényi with the q-deformed version of Khinchin axioms to obtain a measure of information (i.e., entropy) which accounts both for systems with embedded self-similarity and non-extensivity. We show that the entropy thus obtained is uniquely solved in terms of a one-parameter family of information measures. The ensuing maximal-entropy distribution is phrased in terms of a special function known as the Lambert W-function. We analyze the corresponding “high” and “low-temperature” asymptotics and reveal a non-trivial structure of the parameter space. Salient issues such as concavity and Schur concavity of the new entropy are also discussed.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Petr Jizba, Jan Korbel,