Equivalence of partition functions leads to classification of entropies and means

DOI10.3390/e14081317zbMath1314.94025OpenAlexW2020625486MaRDI QIDQ406120

Michel S. Elnaggar, Achim Kempf

Publication date: 8 September 2014

Published in: Entropy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/e14081317

zbMATH Keywords

entropyequivalencepartition functionfree energydimensionalitymeancardinality\(\ell^p\) norminformation and thermodynamicsShannon and Rényi axioms

Mathematics Subject Classification ID

Measures of information, entropy (94A17)

Cites Work

• A Mathematical Theory of Communication
• Multiset theory
• Degrees of Freedom in Multiple-Antenna Channels: A Signal Space Approach
• Recursive density types and Nerode extensions of arithmetic
• Why the Shannon and Hartley entropies are ‘natural’
• An axiomatic characterization of a two-parameter extended relative entropy
• On the Foundations of Information Theory
• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty-III: The Dimension of the Space of Essentially Time- and Band-Limited Signals
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