Souriau-Casimir Lie Groups Thermodynamics and Machine Learning
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Publication:5021892
DOI10.1007/978-3-030-77957-3_3OpenAlexW3176676865MaRDI QIDQ5021892
Publication date: 14 January 2022
Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-77957-3_3
Computer science (68-XX) Statistical mechanics, structure of matter (82-XX) Differential geometry (53-XX)
Related Items (2)
Polysymplectic Souriau Lie group thermodynamics and the geometric structure of its coadjoint orbits ⋮ Polysymplectic Souriau Lie group thermodynamics and entropy geometric structure as Casimir invariant function
Cites Work
- La représentation coadjointe du groupe affine
- Maximum d'entropie et problème des moments. (Maximum entropy and the moment problem)
- Structure of dynamical systems. A symplectic view of physics. Transl. from the French by C. H. Cushman-de Vries. Transl. ed.: R. H. Cushman a. G. M. Tuynman
- Darboux coordinates on \(K\)-orbits and the spectra of Casimir operators on Lie groups
- Method of orbits of co-associated representation in thermodynamics of the Lie non-compact groups
- Euler-Poincaré equation for Lie groups with non null symplectic cohomology. Application to the mechanics
- Lie group machine learning and Gibbs density on Poincaré unit disk from Souriau Lie groups thermodynamics and \(\mathrm{SU}(1,1)\) coadjoint orbits
- Invariants of the co-adjoint representation for Lie algebras of a special form
- Introduction to Symplectic Geometry
- INFORMATION GEOMETRY FOR SOME LIE ALGEBRAS
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