Geometric and spectral analysis
著者
書誌事項
Geometric and spectral analysis
（Contemporary mathematics, 630 . Centre de Recherches Mathématiques proceedings）
American Mathematical Society , Centre de Recherches Mathématiques, c2014
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注記
"CRM Workshops on: Geometry of Eigenvalues and Eigenfunctions, June 4-8, 2012, Manifolds of Metrics and Probabilistic Methods in Geometry and Analysis, July 2-6, 2012, Spectral Invariants on Non-compact and Singular Spaces, July 23-27, 2012, Centre de Recherches Mathématiques, Université de Montréal, Quebec, Canada."
Includes bibliographical references
内容説明・目次
内容説明
In 2012, the Centre de Recherches Mathematiques was at the center of many interesting developments in geometric and spectral analysis, with a thematic program on Geometric Analysis and Spectral Theory followed by a thematic year on Moduli Spaces, Extremality and Global Invariants.
This volume contains original contributions as well as useful survey articles of recent developments by participants from three of the workshops organized during these programs: Geometry of Eigenvalues and Eigenfunctions, held from June 4-8, 2012; Manifolds of Metrics and Probabilistic Methods in Geometry and Analysis, held from July 2-6, 2012; and Spectral Invariants on Non-compact and Singular Spaces, held from July 23-27, 2012.
The topics covered in this volume include Fourier integral operators, eigenfunctions, probability and analysis on singular spaces, complex geometry, Kahler-Einstein metrics, analytic torsion, and Strichartz estimates.
目次
A new proof of a Bismut-Zhang formula for some class of representations by M. Braverman and B. Vertman
Tunneling, the Quillen metric and analytic torsion for high powers of a holomorphic line bundle by R. J. Berman
Simple spectrum and Rayleigh quotients by V. Guillemin, E. Legendre, and R. Sena-Dias
Smooth and singular Kahler-Einstein metrics by Y. A. Rubinstein
Complex $b$-manifolds by G. A. Mendoza
Iterative structures on singular manifolds by B.-W. Schulze
The fundamental gap and one-dimensional collapse by Z. Lu and J. Rowlett
The logarithmic singularities of the Green functions of the conformal powers of the Laplacian by R. Ponge
A symbolic calculus for Fourier integral operators by Y. Safarov
Strichartz estimates on exterior polygonal domains by D. Baskin, J. L. Marzuola, and J. Wunsch
Probabilistic Sobolev embeddings, applications to eigenfunctions estimates by N. Burq and G. Lebeau
Random smooth functions on compact Riemannian manifolds by L. I. Nicolaescu
On the exponential decay of Laplacian eigenfunctions in planar domains with branches by B. T. Nguyen, D. S. Grebenkov, and A. L. Delytsin
Bounds on the principal frequency of the $p$-Laplacian by G. Poliquin
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