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SEMICLASSICAL ANALYSIS, WITTEN LAPLACIANS, AND STATISTICAL MECHANICS (Partial Differential Equations and Applications)
Author(s):Bernard Helffer (Author)
- Publisher: World Scientific Publishing Company
- Publication Date: September 11, 2002
- Edition: Volume 1 ed.
- Language: English
- Print length: 192 pages
- ISBN-10: 9812380981
- ISBN-13: 9789812380982
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.
Editorial Reviews
Review
...the book should be recommended to everyone interested in problems related to partial differential equations and statistical mechanics -- Mathematical Reviews, 2003
Written by the hand of a master --
Zentralblatt MATHAbout the Author
Bernard Helffer is a professor at the University Paris-Sud, Paris. He is specializing in semi-classical analysis and its applications in statistical physics. He has published over 150 papers in major journals.
