ReviewEntropy (Basel, Switzerland)2018
Group Entropies: From Phase Space Geometry to Entropy Functionals via Group Theory.
Review in Entropy (Basel, Switzerland), 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 9 papers.
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Who cites it
9 citing papers in PubMed.
- Group Structure as a Foundation for Entropies.Entropy (Basel, Switzerland) · 2024Article
- The Typical Set and Entropy in Stochastic Systems with Arbitrary Phase Space Growth.Entropy (Basel, Switzerland) · 2023Article
- Non-Additive Entropy Composition Rules Connected with Finite Heat-Bath Effects.Entropy (Basel, Switzerland) · 2022Article
- Weighted Relative Group Entropies and Associated Fisher Metrics.Entropy (Basel, Switzerland) · 2022Article
- Generalized entropies, density of states, and non-extensivity.Scientific reports · 2020Article
- Universality Classes and Information-Theoretic Measures of Complexity via Group Entropies.Scientific reports · 2020Article
- Beyond Boltzmann-Gibbs-Shannon in Physics and Elsewhere.Entropy (Basel, Switzerland) · 2019Review
- Nonadditive Entropies and Complex Systems.Entropy (Basel, Switzerland) · 2019Article
- A new class of entropic information measures, formal group theory and information geometry.Proceedings. Mathematical, physical, and engineering sciences · 2019Article
Corrections and comments
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Authors and funding
2 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
The entropy of Boltzmann-Gibbs, as proved by Shannon and Khinchin, is based on four axioms, where the fourth one concerns additivity. The group theoretic entropies make use of formal group theory to replace this axiom with a more general composability axiom. As has been pointed out before, generalised entropies crucially depend on the number of allowed degrees of freedom
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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.