Spectral Analysis in Geometry and Number Theory

by Kotani, Motoko; Naito, Hisashi; Tate, Tatsuya

Format: Paperback

Pub. Date: 2009-05-10

Publisher(s): Amer Mathematical Society

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Short biography and 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 Liouville property and its application to the Laplacian of an infinite graph
A note on zero-free regions for the derivative of Selberg zeta functions
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 $\mathcal{G}$-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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