Geodesic
A feature in deriving the Gibbs distribution from the entropy maximum principle
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2017), pp. 67-69 
A. M. Shmatkov. A feature in deriving the Gibbs distribution from the entropy maximum principle. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2017), pp. 67-69. http://geodesic.mathdoc.fr/item/VMUMM_2017_5_a13/
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     author = {A. M. Shmatkov},
     title = {A feature in deriving the {Gibbs} distribution from the entropy maximum principle},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {67--69},
     year = {2017},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2017_5_a13/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that the Gibbs distribution may not provide the entropy maximum.

[1] Berezin F.A., Lektsii po statisticheskoi fizike, MTsNMO, M., 2008