Koszul information geometry and Souriau geometric temperature/capacity of Lie group thermodynamics
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Publication:296303
DOI10.3390/e16084521zbMath1338.94028OpenAlexW1980595940WikidataQ115221750 ScholiaQ115221750MaRDI QIDQ296303
Publication date: 15 June 2016
Published in: Entropy (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3390/e16084521
covariant thermodynamicsKoszul entropyKoszul formsKoszul-Vinberg characteristic functionSouriau-Gibbs equilibrium statetemperature vector
Applications of statistics (62P99) Classical and relativistic thermodynamics (80A10) Measures of information, entropy (94A17) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Information theory (general) (94A15)
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Computing distances and geodesics between manifold-valued curves in the SRV framework ⋮ Study of ideal gases in curved spacetimes ⋮ On Gibbs states of mechanical systems with symmetries ⋮ Koszul lecture related to geometric and analytic mechanics, Souriau's Lie group thermodynamics and information geometry ⋮ The last formula of Jean-Louis Koszul ⋮ Jean-Louis Koszul and the Elementary Structures of Information Geometry ⋮ Networks of coadjoint orbits: from geometric to statistical mechanics ⋮ The Kähler Mean of Block-Toeplitz Matrices with Toeplitz Structured Blocks ⋮ Contact geometry and thermodynamics ⋮ Gibbs states on symplectic manifolds with symmetries
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