Invariant of dynamical systems: A generalized entropy

DOI10.1063/1.531638zbMath0863.58045OpenAlexW2080357290MaRDI QIDQ5284870

Fernando Vericat, Alejandro M. Mesón

Publication date: 3 June 1997

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

Full work available at URL: https://doi.org/10.1063/1.531638

zbMATH Keywords

dynamical systemTsallis entropyBernoulli schemesisomorphism invariant

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Ergodic theory (37A99)

Related Items (7)

On local Tsallis entropy of relative dynamical systems ⋮ On the connections of generalized entropies with Shannon and Kolmogorov-Sinai entropies ⋮ On the Kolmogorov-like generalization of Tsallis entropy, correlation entropies and multifractal analysis ⋮ The role of information measures in the determination of the maximum entropy-minimum norm solution of the generalized inverse problem ⋮ Brain electrical activity analysis using wavelet-based informational tools ⋮ Generalized Conditional Entropy — Determinicity of a Process and Rokhlin's Formula ⋮ Information gain within nonextensive thermostatistics

Cites Work

• A Mathematical Theory of Communication
• Bernoulli schemes of the same entropy are finitarily isomorphic
• Possible generalization of Boltzmann-Gibbs statistics.
• Bernoulli shifts with the same entropy are isomorphic
• Statistical-Mechanical Foundation of the Ubiquity of Lévy Distributions in Nature
• Dynamic Linear Response Theory for a Nonextensive System Based on the Tsallis Prescription

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