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Spectral Analysis in Geometry and Number Theory.

By: Contributor(s): Material type: TextTextSeries: Contemporary MathematicsPublisher: Providence : American Mathematical Society, 2009Copyright date: ©2009Edition: 1st edDescription: 1 online resource (363 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780821881637
Subject(s): Genre/Form: Additional physical formats: Print version:: Spectral Analysis in Geometry and Number TheoryDDC classification:
  • 516
LOC classification:
  • QA614.95 -- .S64 2009eb
Online resources:
Contents:
Intro -- Contents -- Preface -- Acknowledgment -- International Conference -- Program of Conference -- A Short Biography and the Work of Professor Sunada -- Brief Profile of Professor Toshikazu Sunada -- An Overview of Sunada's Work up to Age 60 -- Articles -- Sunada's Isospectrality Technique: Two Decades Later -- A Central Limit Theorem on Modified Graphs of Nilpotent Covering Graphs -- Hidden Symmetries and Spectrum of the Laplacian on an Indefinite Riemannian Manifold -- Spectra of Alternating Hilbert Operators -- A Note on Zero-Free Regions for the Derivative of Selberg Zeta Functions -- A Liouville Property and its Application to the Laplacian of an Infinite Graph -- Chern-Simons Variation and Deligne Cohomology -- Renormalized Rauzy-Veech-Zorich Inductions -- Visualization of Standard Realized Crystal Lattices -- Value Distribution and Distribution of Rational Points -- Limiting Distributions for Geodesics Excursions on the Modular Surface -- On the Statistics of the Minimal Solution of a Linear Diophantine Equation and Uniform Distribution of the Real Part of Orbits in Hyperbolic Spaces -- Computations of Spectral Radii on G-Spaces -- Lengths, Quasi-Morphisms and Statistics for Free Groups -- Semiclassical Asymptotics on Manifolds with Boundary -- On Geometric Analogues of the Birch and Swinnerton-Dyer Conjecture for Low Dimensional Hyperbolic Manifolds -- Ray-Singer Zeta Functions for Compact Flat Manifolds -- Bernstein Measures on Convex Polytopes -- Real and Complex Zeros of Riemannian Random Waves.
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Intro -- Contents -- Preface -- Acknowledgment -- International Conference -- Program of Conference -- A Short Biography and the Work of Professor Sunada -- Brief Profile of Professor Toshikazu Sunada -- An Overview of Sunada's Work up to Age 60 -- Articles -- Sunada's Isospectrality Technique: Two Decades Later -- A Central Limit Theorem on Modified Graphs of Nilpotent Covering Graphs -- Hidden Symmetries and Spectrum of the Laplacian on an Indefinite Riemannian Manifold -- Spectra of Alternating Hilbert Operators -- A Note on Zero-Free Regions for the Derivative of Selberg Zeta Functions -- A Liouville Property and its Application to the Laplacian of an Infinite Graph -- Chern-Simons Variation and Deligne Cohomology -- Renormalized Rauzy-Veech-Zorich Inductions -- Visualization of Standard Realized Crystal Lattices -- Value Distribution and Distribution of Rational Points -- Limiting Distributions for Geodesics Excursions on the Modular Surface -- On the Statistics of the Minimal Solution of a Linear Diophantine Equation and Uniform Distribution of the Real Part of Orbits in Hyperbolic Spaces -- Computations of Spectral Radii on G-Spaces -- Lengths, Quasi-Morphisms and Statistics for Free Groups -- Semiclassical Asymptotics on Manifolds with Boundary -- On Geometric Analogues of the Birch and Swinnerton-Dyer Conjecture for Low Dimensional Hyperbolic Manifolds -- Ray-Singer Zeta Functions for Compact Flat Manifolds -- Bernstein Measures on Convex Polytopes -- Real and Complex Zeros of Riemannian Random Waves.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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