Gibbs states on symplectic manifolds with symmetries

DOI10.1007/978-3-030-80209-7_27zbMath1490.53091OpenAlexW3178867674MaRDI QIDQ2117856

Charles-Michel Marle

Publication date: 22 March 2022

Full work available at URL: https://doi.org/10.1007/978-3-030-80209-7_27

zbMATH Keywords

symplectic manifoldscoadjoint orbitsPoincaré half-planemoment mapGibbs statesPoincaré disk

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05)

Cites Work

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• Koszul information geometry and Souriau geometric temperature/capacity of Lie group thermodynamics
• Examples of Gibbs states of mechanical systems with symmetries
• On Gibbs states of mechanical systems with symmetries
• Entropy and Structure of the Thermodynamical Systems
• Symplectic Structure of Information Geometry: Fisher Metric and Euler-Poincaré Equation of Souriau Lie Group Thermodynamics

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