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An initiation to logarithmic Sobolev inequalities

Author: Gilles Royer
Publisher: Providence, R.I. : American Mathematical Society, ©2007.
Series: SMF/AMS texts and monographs, v. 14.; Collection SMF., Cours spécialisés ;, no 5.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"This book provides an introduction to logarithmic Sobolev inequalities with some important applications to mathematical statistical physics. Royer begins by gathering and reviewing the necessary background material on selfadjoint operators, semigroups, Kolmogorov diffusion processes, solutions of stochastic differential equations, and certain other related topics. There then is a chapter on log Sololev inequalities  Read more...
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Document Type: Book
All Authors / Contributors: Gilles Royer
ISBN: 9780821844014 0821844016
OCLC Number: 159822584
Description: viii, 119 pages ; 26 cm.
Contents: Self-adjoint operators --
Symmetric operators --
Spectral decomposition of self-adjoint operators --
Semi-groups --
Semi-groups of self-adjoint operators --
Kolmogorov semi-groups --
Logarithmic Sobolev inequalities --
The Poincaré and gross inequalities --
An application to ergodicity --
Gibbs measures --
Generalities --
An Ising model with real spin --
Stabilization of Glauber-Langevin dynamics --
The gross inequality and stabilization --
The case of weak interactions --
Perspectives --
Appendix A --
Markovian kernels --
Bounded real measures --
The topology of weak convergence.
Series Title: SMF/AMS texts and monographs, v. 14.; Collection SMF., Cours spécialisés ;, no 5.
Other Titles: Initiation aux inégalités de Sobolev logarithmiques.
Responsibility: Gilles Royer ; translated by Donald Babbitt.

Abstract:

Offers an introduction to logarithmic Sobolev inequalities with some important applications to mathematical statistical physics. This title begins by gathering and reviewing the background material  Read more...

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