The Spectrum of Hyperbolic Surfaces. Nicolas Bergeron

The Spectrum of Hyperbolic Surfaces


The.Spectrum.of.Hyperbolic.Surfaces.pdf
ISBN: 9783319276649 | 364 pages | 10 Mb


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



Spectrum of the Laplacian on hyperbolic surfaces. Richard Sharp associated hyperbolic surface H2/Γ. OF LENGTH SPECTRA ON HYPERBOLIC SURFACES. Oriented connected hyperbolic surfaces, define arithmetic surfaces introduce some elementary dynamical 4.3.5 The spectral approach . 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. Non-negative and has purely discrete spectrum on the space L2.Y; dv/ of special closed curves on a compact hyperbolic Riemann surface. Clara Grácio and José Sousa Ramos. I give it to my graduate students as a first source on the hyperbolic geometry of Riemann surfaces, especially Fenchel-Nielsen coordinates, length spectrum etc. Hyperbolic plane endowed with its standard metric of constant gauss- ian curvature −1. Then Γ is isomorphic to the fundamental group of.





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