Entropy dimension of dynamical systems.
de Carvalho, Maria (1997)
Portugaliae Mathematica
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de Carvalho, Maria (1997)
Portugaliae Mathematica
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Baig, M.A.K., Dar, Javid Gani (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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J. S. Chawla (1980)
Kybernetika
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Thomas Bloom (2011)
Annales de la faculté des sciences de Toulouse Mathématiques
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We give a new proof, relying on polynomial inequalities and some aspects of potential theory, of large deviation results for ensembles of random hermitian matrices.
Pierre-André Zitt (2008)
ESAIM: Probability and Statistics
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In a statistical mechanics model with unbounded spins, we prove uniqueness of the Gibbs measure under various assumptions on finite volume functional inequalities. We follow Royer's approach (Royer, 1999) and obtain uniqueness by showing convergence properties of a Glauber-Langevin dynamics. The result was known when the measures on the box [- (with free boundary conditions) satisfied the same logarithmic Sobolev inequality. We generalize this in two directions: either the constants...
Fumio Hiai, Dénes Petz (2000)
Annales de l'I.H.P. Probabilités et statistiques
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