The Spectrum of Hyperbolic Surfaces ebook

The Spectrum of Hyperbolic Surfaces by Nicolas Bergeron

The Spectrum of Hyperbolic Surfaces Nicolas Bergeron ebook
Publisher: Springer International Publishing
Page: 364
ISBN: 9783319276649
Format: pdf

We cite two general questions on the spectrum of the Laplace-Betrami operator for a finite area hyperbolic Riemann surface R. Spectral Theory on Hyperbolic Surfaces. Oriented connected hyperbolic surfaces, define arithmetic surfaces introduce some elementary dynamical 4.3.5 The spectral approach . 1Keywords : spectral asymptotics, magnetic bottles, hyperbolic surface. The spectrum of degenerating hyperbolic 3-manifolds. Iso-length-spectral problem for complete hyperbolic surfaces of finite type. Weighted counting functions on hyperbolic Riemann surfaces of finite volume. Spectrum of the Laplacian on hyperbolic surfaces. Wolpert, Scott A "Spectral limits for hyperbolic surfaces, II " Inventiones mathematicae 108.1 (1992): 91-130. Clara Grácio and José Sousa Ramos. Differential Geom, 39 ( 1994), Spectral degeneration of hyperbolic surfaces. 1 When M is a geometrically finite hyperbolic surface of infinite area and. Topological methods to study the smallest non-zero number $lambda_1$ in the spectrum of the Laplacian on finite area hyperbolic surfaces.