Spectral Theory of Infinite-Area Hyperbolic Surfaces
Description
This book introduces geometric spectral theory in the context of Riemann surfaces. A comprehensive account is given of dramatic recent developments in the context of infinite-area hyperbolic surfaces. The spectral theory of hyperbolic surfaces is a point of intersection for a great variety of areas, including quantum physics, discrete groups, differential geometry, number theory, complex analysis, spectral theory, and ergodic theory. The book highlights these connections, at a level accessible to graduate students and researchers from a wide range of fields.
Reviews / Votes
From the reviews:
"The core of the book under review is devoted to the detailed description of the Guillopé-Zworski papers . . The exposition is very clear and thorough, and essentially self-contained; the proofs are detailed . . The book gathers together some material which is not always easily available in the literature . . To conclude, the book is certainly at a level accessible to graduate students and researchers from a rather large range of fields. Clearly, the reader . would certainly benefit greatly from it." (Colin Guillarmou, Mathematical Reviews, Issue 2008 h)
More details
Other editions
Additional editions
