Information Geometry Formalism for the Spatially Homogeneous Boltzmann Equation

Information Geometry Formalism for the Spatially Homogeneous Boltzmann Equation

Information Geometry generalizes to infinite dimension by modeling the tangent space of the relevant manifold of probability densities with exponential Orlicz spaces. We review here several properties of the exponential manifold on a suitable set Ɛ of mutually absolutely continuous densities. We...

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Bibliographic Details
Main Authors: Bertrand Lods, Giovanni Pistone
Format: Article
Language:English
Published: MDPI AG 2015-06-01
Series:Entropy
Subjects:
information geometry
Orlicz space
spatially homogeneous Boltzmann equation
Kullback-Leibler divergence
Hyvärinen divergence
Online Access:http://www.mdpi.com/1099-4300/17/6/4323

Internet

http://www.mdpi.com/1099-4300/17/6/4323

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