Semiclassical Analysis, Witten Laplacians, and Statistical Mechanics

Semiclassical Analysis, Witten Laplacians, and Statistical Mechanics PDF Author: Bernard Helffer
Publisher: World Scientific
ISBN: 9789812380982
Category : Mathematics
Languages : en
Pages : 200

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Book Description
This important book explains how the technique of Witten Laplacians may be useful in statistical mechanics. It considers the problem of analyzing the decay of correlations, after presenting its origin in statistical mechanics. In addition, it compares the Witten Laplacian approach with other techniques, such as the transfer matrix approach and its semiclassical analysis. The author concludes by providing a complete proof of the uniform Log-Sobolev inequality.