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Geometric and Spectral Analysis
 
Edited by: Pierre Albin University of Illinois at Urbana-Champaign, Urbana, IL
Dmitry Jakobson McGill University, Montreal, Quebec, Canada
Frédéric Rochon Université du Québec à Montréal, Montréal, Québec, Canada
A co-publication of the AMS and Centre de Recherches Mathématiques
Geometric and Spectral Analysis
Softcover ISBN:  978-1-4704-1043-8
Product Code:  CONM/630
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-1-4704-2059-8
Product Code:  CONM/630.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-1-4704-1043-8
eBook: ISBN:  978-1-4704-2059-8
Product Code:  CONM/630.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Geometric and Spectral Analysis
Click above image for expanded view
Geometric and Spectral Analysis
Edited by: Pierre Albin University of Illinois at Urbana-Champaign, Urbana, IL
Dmitry Jakobson McGill University, Montreal, Quebec, Canada
Frédéric Rochon Université du Québec à Montréal, Montréal, Québec, Canada
A co-publication of the AMS and Centre de Recherches Mathématiques
Softcover ISBN:  978-1-4704-1043-8
Product Code:  CONM/630
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-1-4704-2059-8
Product Code:  CONM/630.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-1-4704-1043-8
eBook ISBN:  978-1-4704-2059-8
Product Code:  CONM/630.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Centre de Recherches Mathématiques Proceedings
    Volume: 6302014; 366 pp
    MSC: Primary 58; 53; 60; 49; 46; 35;

    In 2012, the Centre de Recherches Mathématiques 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, Kähler-Einstein metrics, analytic torsion, and Strichartz estimates.

    This book is co-published with the Centre de Recherches Mathématiques.

    Readership

    Graduate students and research mathematicians interested in geometric analysis and spectral geometry.

  • Table of Contents
     
     
    • Articles
    • Maxim Braverman and Boris Vertman — A New Proof of a Bismut-Zhang Formula for Some Class of Representations
    • Robert J. Berman — Tunneling, the Quillen Metric and Analytic Torsion for High Powers of a Holomorphic Line Bundle
    • Victor Guillemin, Eveline Legendre and Rosa Sena-Dias — Simple Spectrum and Rayleigh Quotients
    • Yanir A. Rubinstein — Smooth and Singular Kähler–Einstein Metrics
    • Gerardo A. Mendoza — Complex $b$-Manifolds
    • Bert-Wolfgang Schulze — Iterative Structures on Singular Manifolds
    • Zhiqin Lu and Julie Rowlett — The Fundamental Gap and One-Dimensional Collapse
    • Raphaël Ponge — The Logarithmic Singularities of the Green Functions of the Conformal Powers of the Laplacian
    • Yuri Safarov — A Symbolic Calculus for Fourier Integral Operators
    • Dean Baskin, Jeremy L. Marzuola and Jared Wunsch — Strichartz Estimates on Exterior Polygonal Domains
    • Nicolas Burq and Gilles Lebeau — Probabilistic Sobolev Embeddings, Applications to Eigenfunctions Estimates
    • Liviu I. Nicolaescu — Random Smooth Functions on Compact Riemannian Manifolds
    • Binh T. Nguyen, Denis S. Grebenkov and Andrey L. Delytsin — On the Exponential Decay of Laplacian Eigenfunctions in Planar Domains with Branches
    • Guillaume Poliquin — Bounds on the Principal Frequency of the $p$-Laplacian
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Centre de Recherches Mathématiques Proceedings
Volume: 6302014; 366 pp
MSC: Primary 58; 53; 60; 49; 46; 35;

In 2012, the Centre de Recherches Mathématiques 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, Kähler-Einstein metrics, analytic torsion, and Strichartz estimates.

This book is co-published with the Centre de Recherches Mathématiques.

Readership

Graduate students and research mathematicians interested in geometric analysis and spectral geometry.

  • Articles
  • Maxim Braverman and Boris Vertman — A New Proof of a Bismut-Zhang Formula for Some Class of Representations
  • Robert J. Berman — Tunneling, the Quillen Metric and Analytic Torsion for High Powers of a Holomorphic Line Bundle
  • Victor Guillemin, Eveline Legendre and Rosa Sena-Dias — Simple Spectrum and Rayleigh Quotients
  • Yanir A. Rubinstein — Smooth and Singular Kähler–Einstein Metrics
  • Gerardo A. Mendoza — Complex $b$-Manifolds
  • Bert-Wolfgang Schulze — Iterative Structures on Singular Manifolds
  • Zhiqin Lu and Julie Rowlett — The Fundamental Gap and One-Dimensional Collapse
  • Raphaël Ponge — The Logarithmic Singularities of the Green Functions of the Conformal Powers of the Laplacian
  • Yuri Safarov — A Symbolic Calculus for Fourier Integral Operators
  • Dean Baskin, Jeremy L. Marzuola and Jared Wunsch — Strichartz Estimates on Exterior Polygonal Domains
  • Nicolas Burq and Gilles Lebeau — Probabilistic Sobolev Embeddings, Applications to Eigenfunctions Estimates
  • Liviu I. Nicolaescu — Random Smooth Functions on Compact Riemannian Manifolds
  • Binh T. Nguyen, Denis S. Grebenkov and Andrey L. Delytsin — On the Exponential Decay of Laplacian Eigenfunctions in Planar Domains with Branches
  • Guillaume Poliquin — Bounds on the Principal Frequency of the $p$-Laplacian
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.