A short characterization of relative entropy

DOI10.1063/1.5026999zbMath1409.94838arXiv1712.04903OpenAlexW2963995715WikidataQ113854257 ScholiaQ113854257MaRDI QIDQ4628749

Tom Leinster

Publication date: 15 March 2019

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.04903

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Coding theorems (Shannon theory) (94A24)

Related Items

Lectures on Entropy. I: Information-Theoretic Notions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Mathematical Theory of Communication
• Axiomatic characterizations of information measures
• On a \(q\) -central limit theorem consistent with nonextensive statistical mechanics
• Characterization of the relative entropy of states of matrix algebras
• On functional equations connected with directed divergence, inaccuracy and generalized directed divergence
• Possible generalization of Boltzmann-Gibbs statistics.
• Topological = total
• On Uniqueness Theorems for Tsallis Entropy and Tsallis Relative Entropy
• On the most concise set of axioms and the uniqueness theorem for Tsallis entropy
• H-Theorem with Generalized Relative Entropies and the Tsallis Statistics
• Diversity as a Concept and its Measurement
• Generalized information functions
• A directed-divergence function of type β
• On a characterization of directed divergence
• Measurable Solutions of Functional Equations Related to Information Theory