Relationships between the Legendre structure in the \(S_{2-q}\)-formalism and the dually-flat structure in the space of escort distributions
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Publication:1942964
DOI10.1016/S0034-4877(12)60038-XzbMath1267.82009OpenAlexW2044133074WikidataQ62596819 ScholiaQ62596819MaRDI QIDQ1942964
Atsumi Ohara, Tatsuaki Wada, Antonio Maria Scarfone
Publication date: 14 March 2013
Published in: Reports on Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0034-4877(12)60038-x
Classical equilibrium statistical mechanics (general) (82B05) Foundations of equilibrium statistical mechanics (82B03)
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Cites Work
- Geometry of \(q\)-exponential family of probability distributions
- Geometry of distributions associated with Tsallis statistics and properties of relative entropy minimization
- Generalised exponential families and associated entropy functions
- Geometric study for the Legendre duality of generalized entropies and its application to the porous medium equation
- Distributions and channel capacities in generalized statistical mechanics
- Connections between Tsallis' formalisms employing the standard linear average energy and ones employing the normalized \(q\)-average energy
- Generalised Thermostatistics
- Information geometry ofq-Gaussian densities and behaviors of solutions to related diffusion equations
- Introduction to Nonextensive Statistical Mechanics
- Divergence Function, Duality, and Convex Analysis
- CONFORMAL GEOMETRY OF ESCORT PROBABILITY AND ITS APPLICATIONS
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