Geodesic
The Information Manifold for Relatively Bounded Potentials
Informatics and Automation, Problems of the modern mathematical physics, Tome 228 (2000), pp. 217-235

Voir la notice de l'article provenant de la source Math-Net.Ru

We construct a Banach manifold of states, which are Gibbs states for potentials that are form-bounded relative to the free Hamiltonian. We construct the $(+1)$-affine structure and the $(+1)$-connection. 
@article{TRSPY_2000_228_a16,
     author = {R. F. Streater},
     title = {The {Information} {Manifold} for {Relatively} {Bounded} {Potentials}},
     journal = {Informatics and Automation},
     pages = {217--235},
     publisher = {mathdoc},
     volume = {228},
     year = {2000},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2000_228_a16/}
}
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R. F. Streater. The Information Manifold for Relatively Bounded Potentials. Informatics and Automation, Problems of the modern mathematical physics, Tome 228 (2000), pp. 217-235. http://geodesic.mathdoc.fr/item/TRSPY_2000_228_a16/