Contents
Preface vii
PART I. EXPOSITORY LECTURES.
Introduction to Spectral Theory on Hyperbolic Surfaces
David Borthwick 3
Orbifolds and their Spectra
Carolyn Gordon 49
A brief introduction to semiclassical analysis
Alejandro Uribe and Zuoqin Wang 73
PART II. INVITED PAPERS.
The dynamics of the Schr¨ odinger flow from the point of view of semiclassical
measures
Nalini Anantharaman and Fabricio
Maci`
a 93
Dependence of the Spectrum of a Quantum Graph on Vertex Conditions and
Edge Lengths
Gregory Berkolaiko and Peter Kuchment 117
Investigating the spectral geometry of a soft wall
Jeffrey Bouas, Stephen Fulling, Fernando Mera,
Krishna Thapa, Cynthia Trendafilova, and Jef Wagner 139
Equivariant Inverse Spectral Problems
Emily B. Dryden, Victor Guillemin, and Rosa Sena-Dias 155
Classical Equivalence and Quantum Equivalence of Magnetic Fields on
Flat Tori
Carolyn Gordon, William Kirwin, Dorothee Schueth,
and David Webb 167
A semiclassical heat trace expansion for the perturbed harmonic oscillator
Victor Guillemin, Alejandro Uribe, and Zuoqin Wang 181
Estimates on Neumann eigenfunctions at the boundary, and the “Method of
Particular Solutions” for computing them
Andrew Hassell and Alex Barnett 195
Recent progress on the Quantum Unique Ergodicity Conjecture
Peter Sarnak 211
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