Lie Group Statistics and Lie Group Machine Learning Based on Souriau Lie Groups Thermodynamics & Koszul-Souriau-Fisher Metric: New Entropy Definition as Generalized Casimir Invariant Function in Coadjoint Representation

In 1969, Jean-Marie Souriau introduced a “Lie Groups Thermodynamics” in Statistical Mechanics in the framework of Geometric Mechanics. This Souriau’s model considers the statistical mechanics of dynamic systems in their “space of evolution” associated to a homogeneous symplectic manifold by a Lagran...

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Detalles Bibliográficos
Autor principal: Barbaresco, Frédéric
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7517177/
https://www.ncbi.nlm.nih.gov/pubmed/33286414
http://dx.doi.org/10.3390/e22060642

Internet

https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7517177/
https://www.ncbi.nlm.nih.gov/pubmed/33286414
http://dx.doi.org/10.3390/e22060642

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