6 pages, AMS-LaTeX2e (amsart class)International audienceThe aim of this note is to connect a reversed form of the Gross logarithmic Sobolev inequality with the Gaussian maximum of Shannon's entropy power. There is thus a complete parallel with the well-known link between logarithmic Sobolev inequalities and their information theoretic counterparts. We moreover provide an elementary proof of the reversed Gross inequality via a two-point inequality and the Central Limit Theorem
We prove that the exponent of the entropy of one-dimensional projections of a log-concave random vec...
Working on the generalization of Fisher’s entropy type Information measure (say Ja(X), X a rv with a...
Let Z be a standard Gaussian random variable, X be independent of Z, and t be a strictly positive sc...
Abstract. We prove a sharp, dimension-free stability result for the classical logarithmic Sobolev in...
Using the concavity property of the log mapping and the weighted arithmetic mean - geometric mean in...
AbstractWe develop a reverse entropy power inequality for convex measures, which may be seen as an a...
Using an inequality for convex functions by Andrica and Ra°a [1] (2.1), we point out a new inequalit...
This paper is devoted to refinements of convex Sobolev inequalities in the case of power law relativ...
AbstractUsing an inequality for convex functions by Andrica and Ra°a [1] (2.1), we point out a new i...
We show that transport inequalities, similar to the one derived by M. Talagrand (1996, Geom. Funct. ...
We show that an information-theoretic property of Shannon's entropy power, known as concavity of ent...
This note consists of two parts. Firstly, we bound the deficit in the logarithmic Sobolev Inequality...
Inspired by the forward and the reverse channels from the image-size characterization problem in net...
This paper is devoted to renements of convex Sobolev inequalities in the case of power law relative ...
International audienceThis paper is devoted to logarithmic Hardy-Littlewood-Sobolev inequalities in ...
We prove that the exponent of the entropy of one-dimensional projections of a log-concave random vec...
Working on the generalization of Fisher’s entropy type Information measure (say Ja(X), X a rv with a...
Let Z be a standard Gaussian random variable, X be independent of Z, and t be a strictly positive sc...
Abstract. We prove a sharp, dimension-free stability result for the classical logarithmic Sobolev in...
Using the concavity property of the log mapping and the weighted arithmetic mean - geometric mean in...
AbstractWe develop a reverse entropy power inequality for convex measures, which may be seen as an a...
Using an inequality for convex functions by Andrica and Ra°a [1] (2.1), we point out a new inequalit...
This paper is devoted to refinements of convex Sobolev inequalities in the case of power law relativ...
AbstractUsing an inequality for convex functions by Andrica and Ra°a [1] (2.1), we point out a new i...
We show that transport inequalities, similar to the one derived by M. Talagrand (1996, Geom. Funct. ...
We show that an information-theoretic property of Shannon's entropy power, known as concavity of ent...
This note consists of two parts. Firstly, we bound the deficit in the logarithmic Sobolev Inequality...
Inspired by the forward and the reverse channels from the image-size characterization problem in net...
This paper is devoted to renements of convex Sobolev inequalities in the case of power law relative ...
International audienceThis paper is devoted to logarithmic Hardy-Littlewood-Sobolev inequalities in ...
We prove that the exponent of the entropy of one-dimensional projections of a log-concave random vec...
Working on the generalization of Fisher’s entropy type Information measure (say Ja(X), X a rv with a...
Let Z be a standard Gaussian random variable, X be independent of Z, and t be a strictly positive sc...
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