An Initiation to Logarithmic Sobolev Inequalities (SMF/AMS Texts & Monographs No. 14)

An Initiation to Logarithmic Sobolev Inequalities (SMF/AMS Texts & Monographs No. 14)

By: Gilles Royer (author)Paperback

1 - 2 weeks availability

Description

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.

Create a review

Contents

Self-adjoint operators Semi-groups Logarithmic Sobolev inequalities Gibbs measures Stabilization of the Langevin dynamic Appendix A Bibliography.

Product Details

  • publication date: 15/10/2007
  • ISBN13: 9780821844014
  • Format: Paperback
  • Number Of Pages: 119
  • ID: 9780821844014
  • weight: 255
  • ISBN10: 0821844016

Delivery Information

  • Saver Delivery: Yes
  • 1st Class Delivery: Yes
  • Courier Delivery: Yes
  • Store Delivery: Yes

Prices are for internet purchases only. Prices and availability in WHSmith Stores may vary significantly

Close