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Spectral Analysis in Geometry and Number Theory
 
Edited by: Motoko Kotani :  Tohoku University, Sendai, Japan
Hisashi Naito :  Nagoya University, Nagoya, Japan
Tatsuya Tate :  Nagoya University, Nagoya, Japan
Spectral Analysis in Geometry and Number Theory
eBook ISBN:  978-0-8218-8163-7
Product Code:  CONM/484.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Add to cart
Spectral Analysis in Geometry and Number Theory
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Spectral Analysis in Geometry and Number Theory
Edited by: Motoko Kotani :  Tohoku University, Sendai, Japan
Hisashi Naito :  Nagoya University, Nagoya, Japan
Tatsuya Tate :  Nagoya University, Nagoya, Japan
eBook ISBN:  978-0-8218-8163-7
Product Code:  CONM/484.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Add to cart
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 484; 2009; 342 pp
    MSC: Primary 58; 11; 37; Secondary 35; 60

    This volume is an outgrowth of an international conference in honor of Toshikazu Sunada on the occasion of his sixtieth birthday. The conference took place at Nagoya University, Japan, in 2007.

    Sunada's research covers a wide spectrum of spectral analysis, including interactions among geometry, number theory, dynamical systems, probability theory and mathematical physics. Readers will find papers on trace formulae, isospectral problems, zeta functions, quantum ergodicity, random waves, discrete geometric analysis, value distribution, and semiclassical analysis. This volume also contains an article that presents an overview of Sunada's work in mathematics up to the age of sixty.
    Readership

    Graduate students and research mathematicians interested in geometry, number theory, and dynamical systems.
  • Table of Contents
     
     
    • A Short Biography and the Work of Professor Sunada [ MR 1500134 ]
    • Atsushi Katsuda and Polly Wee Sy — Brief profile of Professor Toshikazu Sunada [ MR 1500135 ]
    • Atsushi Katsuda and Polly Wee Sy — An overview of Sunada’s work up to age 60 [ MR 1500136 ]
    • Articles [ MR 1500134 ]
    • Carolyn Gordon — Sunada’s isospectrality technique: two decades later [ MR 1500137 ]
    • Satoshi Ishiwata — A central limit theorem on modified graphs of nilpotent covering graphs [ MR 1500138 ]
    • Toshiyuki Kobayashi — Hidden symmetries and spectrum of the Laplacian on an indefinite Riemannian manifold [ MR 1500139 ]
    • Nobushige Kurokawa and Hiroyuki Ochiai — Spectra of alternating Hilbert operators [ MR 1500140 ]
    • Jun Masamune — A Liouville property and its application to the Laplacian of an infinite graph [ MR 1500141 ]
    • Makoto Minamide — A note on zero-free regions for the derivative of Selberg zeta functions [ MR 1500142 ]
    • Masanori Morishita and Yuji Terashima — Chern-Simons variation and Deligne cohomology [ MR 1500143 ]
    • Takehiko Morita — Renormalized Rauzy-Veech-Zorich inductions [ MR 1500144 ]
    • Hisashi Naito — Visualization of standard realized crystal lattices [ MR 1500145 ]
    • Junjiro Noguchi — Value distribution and distribution of rational points [ MR 1500146 ]
    • Mark Pollicott — Limiting distributions for geodesics excursions on the modular surface [ MR 1500147 ]
    • Morten S. Risager and Zeév Rudnick — On the statistics of the minimal solution of a linear Diophantine equation and uniform distribution of the real part of orbits in hyperbolic spaces [ MR 1500148 ]
    • Laurent Saloff-Coste and Wolfgang Woess — Computations of spectral radii on $\scr G$-spaces [ MR 1500149 ]
    • Matthew Horsham and Richard Sharp — Lengths, quasi-morphisms and statistics for free groups [ MR 1500150 ]
    • Nilufer Koldan, Igor Prokhorenkov and Mikhail Shubin — Semiclassical asymptotics on manifolds with boundary [ MR 1500151 ]
    • Ken-ichi Sugiyama — On geometric analogues of the Birch and Swinnerton-Dyer conjecture for low dimensional hyperbolic manifolds [ MR 1500152 ]
    • Toshikazu Sunada and Hajime Urakawa — Ray-Singer zeta functions for compact flat manifolds [ MR 1500153 ]
    • Tatsuya Tate — Bernstein measures on convex polytopes [ MR 1500154 ]
    • Steve Zelditch — Real and complex zeros of Riemannian random waves [ MR 1500155 ]
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Contemporary Mathematics
Volume: 484; 2009; 342 pp
MSC: Primary 58; 11; 37; Secondary 35; 60

This volume is an outgrowth of an international conference in honor of Toshikazu Sunada on the occasion of his sixtieth birthday. The conference took place at Nagoya University, Japan, in 2007.

Sunada's research covers a wide spectrum of spectral analysis, including interactions among geometry, number theory, dynamical systems, probability theory and mathematical physics. Readers will find papers on trace formulae, isospectral problems, zeta functions, quantum ergodicity, random waves, discrete geometric analysis, value distribution, and semiclassical analysis. This volume also contains an article that presents an overview of Sunada's work in mathematics up to the age of sixty.
Readership

Graduate students and research mathematicians interested in geometry, number theory, and dynamical systems.
  • A Short Biography and the Work of Professor Sunada [ MR 1500134 ]
  • Atsushi Katsuda and Polly Wee Sy — Brief profile of Professor Toshikazu Sunada [ MR 1500135 ]
  • Atsushi Katsuda and Polly Wee Sy — An overview of Sunada’s work up to age 60 [ MR 1500136 ]
  • Articles [ MR 1500134 ]
  • Carolyn Gordon — Sunada’s isospectrality technique: two decades later [ MR 1500137 ]
  • Satoshi Ishiwata — A central limit theorem on modified graphs of nilpotent covering graphs [ MR 1500138 ]
  • Toshiyuki Kobayashi — Hidden symmetries and spectrum of the Laplacian on an indefinite Riemannian manifold [ MR 1500139 ]
  • Nobushige Kurokawa and Hiroyuki Ochiai — Spectra of alternating Hilbert operators [ MR 1500140 ]
  • Jun Masamune — A Liouville property and its application to the Laplacian of an infinite graph [ MR 1500141 ]
  • Makoto Minamide — A note on zero-free regions for the derivative of Selberg zeta functions [ MR 1500142 ]
  • Masanori Morishita and Yuji Terashima — Chern-Simons variation and Deligne cohomology [ MR 1500143 ]
  • Takehiko Morita — Renormalized Rauzy-Veech-Zorich inductions [ MR 1500144 ]
  • Hisashi Naito — Visualization of standard realized crystal lattices [ MR 1500145 ]
  • Junjiro Noguchi — Value distribution and distribution of rational points [ MR 1500146 ]
  • Mark Pollicott — Limiting distributions for geodesics excursions on the modular surface [ MR 1500147 ]
  • Morten S. Risager and Zeév Rudnick — On the statistics of the minimal solution of a linear Diophantine equation and uniform distribution of the real part of orbits in hyperbolic spaces [ MR 1500148 ]
  • Laurent Saloff-Coste and Wolfgang Woess — Computations of spectral radii on $\scr G$-spaces [ MR 1500149 ]
  • Matthew Horsham and Richard Sharp — Lengths, quasi-morphisms and statistics for free groups [ MR 1500150 ]
  • Nilufer Koldan, Igor Prokhorenkov and Mikhail Shubin — Semiclassical asymptotics on manifolds with boundary [ MR 1500151 ]
  • Ken-ichi Sugiyama — On geometric analogues of the Birch and Swinnerton-Dyer conjecture for low dimensional hyperbolic manifolds [ MR 1500152 ]
  • Toshikazu Sunada and Hajime Urakawa — Ray-Singer zeta functions for compact flat manifolds [ MR 1500153 ]
  • Tatsuya Tate — Bernstein measures on convex polytopes [ MR 1500154 ]
  • Steve Zelditch — Real and complex zeros of Riemannian random waves [ MR 1500155 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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