Displaying similar documents to “Functional inequalities and uniqueness of the Gibbs measure — from log-Sobolev to Poincaré”

Convex entropy decay via the Bochner–Bakry–Emery approach

Pietro Caputo, Paolo Dai Pra, Gustavo Posta (2009)

Annales de l'I.H.P. Probabilités et statistiques

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We develop a method, based on a Bochner-type identity, to obtain estimates on the exponential rate of decay of the relative entropy from equilibrium of Markov processes in discrete settings. When this method applies the relative entropy decays in a convex way. The method is shown to be rather powerful when applied to a class of birth and death processes. We then consider other examples, including inhomogeneous zero-range processes and Bernoulli–Laplace models. For these two models, known...

Time weighted entropies

Jörg Schmeling (2000)

Colloquium Mathematicae

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For invertible transformations we introduce various notions of topological entropy. For compact invariant sets these notions are all the same and equal the usual topological entropy. We show that for non-invariant sets these notions are different. They can be used to detect the direction in time in which the system evolves to highest complexity.

Voiculescu’s Entropy and Potential Theory

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.

Potential confinement property of the parabolic Anderson model

Gabriela Grüninger, Wolfgang König (2009)

Annales de l'I.H.P. Probabilités et statistiques

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We consider the parabolic Anderson model, the Cauchy problem for the heat equation with random potential in ℤ. We use i.i.d. potentials :ℤ→ℝ in the third universality class, namely the class of , in the classification of van der Hofstad, König and Mörters [ (2006) 307–353]. This class consists of potentials whose logarithmic moment generating function is regularly varying with parameter =1, but do not belong to the class of so-called double-exponentially distributed potentials...