The Spectrum of Hyperbolic Surfaces pdf download

The Spectrum of Hyperbolic Surfaces Nicolas Bergeron
Publisher: Springer International Publishing

In this paper, we begin a study of the length spectrum for geometrically infinite hyperbolic surfaces. Of the spectrum is related to the dimension δ was first discovered by. We prove a new omega result for extreme values of high-energy Hecke-Maass eigenforms on arithmetic hyperbolic surfaces. Consider a finite volume hyperbolic surface. Of Spectral Degeneration of Hyperbolic Riemann Surfaces J. Hyperbolic plane endowed with its standard metric of constant gauss- ian curvature −1. Publication » An Algorithm for the Computation of Eigenvalues, Spectral Zeta Functions and Zeta-Determinants on Hyperbolic Surfaces. Spectral theory and geometry of locally symmetric spaces to appear in Proc. Signature operator is analyzed on globally hyperbolic Lorentzian surfaces. Wolpert, Scott A "Spectral limits for hyperbolic surfaces, II " Inventiones mathematicae 108.1 (1992): 91-130. Distribution of Resonances for Hyperbolic Surfaces recently: the fractal Weyl law, the spectral gap, and the concentration of decay rates. Under perturbation the spectrum of the Laplace operator is unstable but the singular set is stable. Abstract: The perturbation theory of the Laplace spectrum of hyperbolic surfaces with conical singularities belonging to a fixed conformal class is developed. The Correlation of Length Spectra of Two Hyperbolic Surfaces. Development of more general geometric spectra for Riemannian manifolds. Spectra of hyperbolic surfaces. Richard Schwartz1 and Richard Sharp2. ON HYPERBOLIC SURFACES WITH CONE POINTS the continuous spectrum and finitely many eigenvalues in the interval [0, 4) the Laplace-Beltrami. Author: Peter Sarnak Journal: Bull.