Geometric Theory of Heat from Souriau Lie Groups Thermodynamics and Koszul Hessian Geometry: Applications in Information Geometry for Exponential Families
We introduce the symplectic structure of information geometry based on Souriau’s Lie group thermodynamics model, with a covariant definition of Gibbs equilibrium via invariances through co-adjoint action of a group on its moment space, defining physical observables like energy, heat, and moment as p...
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| Format: | Article |
| Language: | English |
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MDPI AG
2016-11-01
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| Series: | Entropy |
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| Online Access: | http://www.mdpi.com/1099-4300/18/11/386 |