Surveys in Differential Geometry, Vol. 9: Eigenvalues of Laplacians and Other Geometric Operators

Contents Anomalous diffusion and stability of Harnack inequalities (by M.T. Barlow) From isoperimetric inequalities to heat kernels via symmetrization (by G. Besson) Discrete isoperimetric inequalities (by F. Chung) An excursion into geometric analysis (by T.H. Colding & W.P. Minicozzi II) Eigenvalues of elliptic operators and geometric applications (by A. Grigor'yan, Y. Netrusov & S.-T. Yau) Spectral gap, logarithmic Sobolev constant, and geometric bounds (by M. Ledoux) Discrete analytic functions: An exposition (by L. Lov?sz) Conformal properties in classical minimal surface theory (by W.H. Meeks III & J. P?rez) Analysis of the cut locus via heat kernel (by R. Neel & D. Strook) Analysis on Riemannian co-compact covers (by L. Saloff-Coste) Functoriality and small eigenvalues of Laplacian on Riemann surfaces (by F. Shahidi) The inverse spectral problem (by S. Zelditch)