Buch, Englisch, Band 14, 119 Seiten, Gewicht: 255 g
Reihe: SMF/AMS Texts and Monographs
Buch, Englisch, Band 14, 119 Seiten, Gewicht: 255 g
Reihe: SMF/AMS Texts and Monographs
ISBN: 978-0-8218-4401-4
Verlag: American Mathematical Society
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.
Autoren/Hrsg.
Fachgebiete
- Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
- Naturwissenschaften Physik Thermodynamik Festkörperphysik, Kondensierte Materie
- Mathematik | Informatik Mathematik Stochastik Mathematische Statistik
- Mathematik | Informatik Mathematik Stochastik Stochastische Prozesse
- Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung
- Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
- Mathematik | Informatik Mathematik Stochastik Elementare Stochastik
