Gibbs States on Symplectic Manifolds with Symmetries
Author:
Publisher
Springer International Publishing
Link
https://link.springer.com/content/pdf/10.1007/978-3-030-80209-7_27
Reference18 articles.
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3. Barbaresco, F.: Geometric Theory of Heat from Souriau Lie Groups thermodynamics and Koszul Hessian geometry: applications in information geometry for exponential families. Entropy 18(11), 386 (2016). https://doi.org/10.3390/e18110386. In the Special Issue “Differential Geometrical Theory of Statistics”, MDPI
4. Barbaresco, F.: Lie group statistics and Lie group machine learning based on Souriau lie groups thermodynamics and Koszul-Souriau-fisher metric: new entropy definition as Casimir invariant function in coadjoint representation. Entropy 22, 642 (2020). https://doi.org/10.3390/e22060642
5. Barbaresco, F., Gay-Balmaz, F.: Lie group cohomology and (multi)symplectic integrators: new geometric tools for Lie group machine learning based on Souriau geometric statistical mechanics. Entropy 22, 498 (2020). https://doi.org/10.3390/e22050498
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