Book Titles Surveys in Differential Geometry, Vol. IX

Hardcover		Surveys in Differential Geometry, Vol. IX: Eigenvalues of Laplacians and Other Geometric Operators
		ISBN: 1-57146-115-9 Year Published: 2004 Pages: 219 pages Binding: Hardcover List Price: $95.00 --> Only $65.00 through the end of January!

Description: This volume is a collection of surveys of diverse topics in geometry related to the eigenvalues of the Laplacian and other geometric operators. A good understanding of the spectral properties of differential operators has deep consequences in geometry, physics, number theory, probability theory, etc. Analytic methods have penetrated also into discrete mathematics, where the study of the spectral properties of difference operators leads to a deeper understanding of the combinatorial question on graphs. The present collection represents a substantial part of the subject, and it will be beneficial to geometers and experts from the adjacent area. Contents: Anomalous diffusion and stability of Harnack inequalities M. T. Barlow From isoperimetric inequalities to heat kernels via symmetrisation G. Besson Discrete isoperimetric inequalities F. Chung An excursion into geometric analysis T. H. Colding and W. P. Minicozzi II Eigenvalues of elliptic operators and geometric applications A. Grigor'yan, Y. Netrusov, and S.-T. Yau Spectral gap, logarithmic Sobolev constant, and geometric bounds M. Ledoux Discrete analytic functions: An exposition L. Lovász Confromal properties in classical minimal surface theory W. H. Meeks III and J. Pérez Analysis of the cut locus via the heat kernel R. Neel and D. Stroock Analysis on Riemannian co-compact covers L. Saloff-Coste Functoriality and small eigenvalues of Laplacian on Riemann survaces F. Shahidi The inverse spectral problem S. Zelditch Editors: Alexander Grigor'yan, Imperial College of Science and Technology, London, England S.-T. Yau, Harvard University, Cambridge, MA Related Books: Surveys in Differential Geometry Series, I-IX To Order: Book Orders Book Sales - Great discounts on other popular titles!