Spectral Analysis in Geometry and Number Theory.
- 1st ed.
- 1 online resource (363 pages)
- Contemporary Mathematics ; v.484 .
- Contemporary Mathematics .
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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Spectral geometry -- Congresses. Number theory -- Congresses.