|
|
|||
|
||||
OverviewIn 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. Full Product DetailsAuthor: Pierre Albin , Dmitry Jakobson , Frederic RochonPublisher: American Mathematical Society Imprint: American Mathematical Society Volume: 630 Weight: 0.524kg ISBN: 9781470410438ISBN 10: 1470410435 Pages: 366 Publication Date: 30 March 2015 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of stock The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsA 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. PoliquinReviewsAuthor InformationPierre Albin, University of Illinois at Urbana-Champaign, IL, USA. Dmitry Jakobson, McGill University, Montreal, Quebec, Canada. Frederic Rochon, Universite du Quebec a Montreal, Quebec, Canada. Tab Content 6Author Website:Countries AvailableAll regions |