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Semiclassical Analysis, Witten Laplacian (Series on Partial Differential Equations and Applications)

Bernard Helffer




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 | #9970792 in Books |  2002-09-11 | Original language:English | PDF # 1 |  9.30 x.60 x6.32l,.86 | File type: PDF | 192 pages

|| |...the book should be recommended to everyone interested in problems related to partial differential equations and statistical mechanics -- Mathematical s, 2003

Written by the hand of a master … -- Zentralblatt MATH|

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.



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