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Spectral Geometry

About this Title

Alex H. Barnett, Dartmouth College, Hanover, NH, Carolyn S. Gordon, Dartmouth College, Dartmouth, NH, Peter A. Perry, University of Kentucky, Lexington, KY and Alejandro Uribe, University of Michigan, Ann Arbor, MI, Editors

Publication: Proceedings of Symposia in Pure Mathematics
Publication Year: 2012; Volume 84
ISBNs: 978-0-8218-5319-1 (print); 978-0-8218-9196-4 (online)
DOI: https://doi.org/10.1090/pspum/084

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Table of Contents

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Front/Back Matter

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Part I. Expository Lectures

• David Borthwick – Introduction to spectral theory on hyperbolic surfaces
• Carolyn Gordon – Orbifolds and their spectra
• Alejandro Uribe and Zuoqin Wang – A brief introduction to semiclassical analysis

Part II. Invited Papers

• Nalini Anantharaman and Fabricio Macià – The dynamics of the Schrödinger flow from the point of view of semiclassical measures
• Gregory Berkolaiko and Peter Kuchment – Dependence of the spectrum of a quantum graph on vertex conditions and edge lengths
• Jeffrey Bouas, Stephen Fulling, Fernando Mera, Krishna Thapa, Cynthia Trendafilova and Jef Wagner – Investigating the spectral geometry of a soft wall
• Emily B. Dryden, Victor Guillemin and Rosa Sena-Dias – Equivariant inverse spectral problems
• Carolyn Gordon, William Kirwin, Dorothee Schueth and David Webb – Classical equivalence and quantum equivalence of magnetic fields on Flat Tori
• Victor Guillemin, Alejandro Uribe and Zuoqin Wang – A semiclassical heat trace expansion for the perturbed harmonic oscillator
• Andrew Hassell and Alex Barnett – Estimates on Neumann eigenfunctions at the boundary, and the “method of particular solutions” for computing them
• Peter Sarnak – Recent progress on the quantum unique ergodicity conjecture
• Hamid Hezari and Zuoqin Wang – Lower bounds for volumes of nodal sets: An improvement of a result of Sogge-Zelditch
• Chris Judge – The nodal set of a finite sum of Maass cusp forms is a graph
• Thomas Kappeler, Beat Schaad and Peter Topalov – Asymptotics of spectral quantities of Schrödinger operators
• Igor Wigman – On the nodal lines of random and deterministic Laplace eigenfunctions
• Steven Zelditch – Pluri-potential theory on Grauert tubes of real analytic Riemannian manifolds, I