Distribution of resonances for convex co-compact hyperbolic surfaces
نویسندگان
چکیده
منابع مشابه
Dimension of the Limit Set and the Density of Resonances for Convex Co-compact Hyperbolic Surfaces
The purpose of this paper is to show how the methods of Sjj ostrand for proving the geometric bounds for the density of resonances 28] apply to the case of convex co-compact hyperbolic surfaces. We prove that the exponent in the Weyl estimate for the number of resonances in subconic neighbourhoods of the continuous spectrum is related to the dimension of the limit set of the corresponding Klein...
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Distribution of resonances for manifolds with hyperbolic ends by Kiril Datchev Doctor of Philosophy in Mathematics University of California, Berkeley Professor Maciej Zworski, Chair Quantum decay rates appear as imaginary parts of resonances, or poles of the meromorphic continuation of the resolvent of the Laplacian. As energy grows, decay rates are related to properties of geodesic flow and to...
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ژورنال
عنوان ژورنال: Journées équations aux dérivées partielles
سال: 1997
ISSN: 0752-0360
DOI: 10.5802/jedp.529