An initiation to logarithmic Sobolev inequalities
著者
書誌事項
An initiation to logarithmic Sobolev inequalities
（SMF/AMS texts and monographs, v. 14）
American Mathematical Society , Société Mathématique de France, 2007
- タイトル別名
-
Une initiation aux inégalités de Sobolev logarithmiques
大学図書館所蔵 件 / 全22件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Translation of: Une initiation aux inégalités de Sobolev logarithmiques
"Cours Spécialisés. Numéro 5. 1999"
Includes bibliographical references (p. 117-119)
Originally published in French: [Paris] : Société mathématique de France, c1999
内容説明・目次
内容説明
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 Sobolev inequalities with an application to a strong ergodicity theorem for Kolmogorov diffusion processes. The remaining two chapters consider the general setting for Gibbs measures including existence and uniqueness issues, the Ising model with real spins and the application of log Sobolev inequalities to show the stabilization of the Glauber-Langevin dynamic stochastic models for the Ising model with real spins. The exercises and complements extend the material in the main text to related areas such as Markov chains. Information for our distributors: Titles in this series are co-published with Societe Mathematique de France. SMF members are entitled to AMS member discounts.
目次
Self-adjoint operators Semi-groups Logarithmic Sobolev inequalities Gibbs measures Stabilization of the Langevin dynamic Appendix A Bibliography.
「Nielsen BookData」 より