By Gilles Royer
ISBN-10: 0821844016
ISBN-13: 9780821844014
This booklet presents an advent to logarithmic Sobolev inequalities with a few very important purposes to mathematical statistical physics. Royer starts off through amassing and reviewing the required historical past fabric on selfadjoint operators, semigroups, Kolmogorov diffusion tactics, ideas of stochastic differential equations, and sure different comparable subject matters. There then is a bankruptcy on log Sobolev inequalities with an software to a powerful ergodicity theorem for Kolmogorov diffusion procedures. the rest chapters examine the final surroundings for Gibbs measures together with life and distinctiveness concerns, the Ising version with genuine spins and the appliance of log Sobolev inequalities to teach the stabilization of the Glauber-Langevin dynamic stochastic versions for the Ising version with genuine spins. The workouts and enhances expand the fabric usually textual content to similar components comparable to Markov chains. Titles during this sequence are co-published with Société Mathématique de France. SMF contributors are entitled to AMS member discount rates.
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An initiation to logarithmic Sobolev inequalities by Gilles Royer
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