• Daneshyari
  • Topics
    • Physical Sciences and Engineering
      Life Sciences
      Health Sciences
      Social Sciences and Humanities
Physical Sciences and Engineering Mathematics Algebra and Number Theory

Bounds on the deficit in the logarithmic Sobolev inequality

Article ID Journal Published Year Pages File Type
4590010 Journal of Functional Analysis 2014 29 Pages PDF
Abstract

The deficit in the logarithmic Sobolev inequality for the Gaussian measure is considered and estimated by means of transport and information-theoretic distances.

Keywords
Gaussian measuresOptimal transportLogarithmic Sobolev inequality
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
Bounds on the deficit in the logarithmic Sobolev inequality
Authors
S.G. Bobkov, N. Gozlan, C. Roberto, P.-M. Samson,
Related Articles
The limiting distributions of large heavy Wigner and arbitrary random matrices
C0-estimates and smoothness of solutions to the parabolic equation defined by Kimura operators
Properties of Beurling-type submodules via Agler decompositions
Nonlinear elliptic equations and intrinsic potentials of Wolff type
The Vlasov–Poisson–Boltzmann system for the whole range of cutoff soft potentials
A moderate deviation principle for 2-D stochastic Navier–Stokes equations driven by multiplicative Lévy noises
Blow-up analysis for a cosmic strings equation
On the non-commutative fractional Wishart process
Malliavin calculus for regularity structures: The case of gPAM
Idempotents with small norms
Journal
Journal of Functional Analysis
Journal: Journal of Functional Analysis
Related Categories
Gaussian measures
Optimal transport
Logarithmic Sobolev inequality
Algebra and Number Theory
Analysis
Applied Mathematics
Computational Mathematics
Control and Optimization
Discrete Mathematics and Combinatorics
Geometry and Topology
Logic
Mathematical Physics
Mathematics (General)
Modelling and Simulation
Numerical Analysis
Statistics and Probability
Theoretical Computer Science
Related Journals
Journal of Symbolic Computation
Expositiones Mathematicae
Finite Fields and Their Applications
Journal of Algebra
Journal of Number Theory
Journal of Pure and Applied Algebra
Linear Algebra and its Applications
Daneshyari provides fulltext access to millions of research papers.