Skickas . Fri frakt för medlemmar vid köp för minst 249 kr.
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.
Pierre 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.
A new proof of a Bismut-Zhang formula for some class of representations by M. Braverman and B. VertmanTunneling, the Quillen metric and analytic torsion for high powers of a holomorphic line bundle by R. J. BermanSimple spectrum and Rayleigh quotients by V. Guillemin, E. Legendre, and R. Sena-DiasSmooth and singular Kahler-Einstein metrics by Y. A. RubinsteinComplex $b$-manifolds by G. A. MendozaIterative structures on singular manifolds by B.-W. SchulzeThe fundamental gap and one-dimensional collapse by Z. Lu and J. RowlettThe logarithmic singularities of the Green functions of the conformal powers of the Laplacian by R. PongeA symbolic calculus for Fourier integral operators by Y. SafarovStrichartz estimates on exterior polygonal domains by D. Baskin, J. L. Marzuola, and J. WunschProbabilistic Sobolev embeddings, applications to eigenfunctions estimates by N. Burq and G. LebeauRandom smooth functions on compact Riemannian manifolds by L. I. NicolaescuOn the exponential decay of Laplacian eigenfunctions in planar domains with branches by B. T. Nguyen, D. S. Grebenkov, and A. L. DelytsinBounds on the principal frequency of the $p$-Laplacian by G. Poliquin