Divisor of the Selberg zeta function for kleinian groups
Peter A. Perry (1994)
Journées équations aux dérivées partielles
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Displaying similar documents to “Distribution of resonances for convex co-compact hyperbolic surfaces”
Divisor of the Selberg zeta function for kleinian groups
On the distribution of resonances for some asymptotically hyperbolic manifolds
R. G. Froese, Peter D. Hislop (2000)
Journées équations aux dérivées partielles
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We establish a sharp upper bound for the resonance counting function for a class of asymptotically hyperbolic manifolds in arbitrary dimension, including convex, cocompact hyperbolic manifolds in two dimensions. The proof is based on the construction of a suitable paramatrix for the absolute -matrix that is unitary for real values of the energy. This paramatrix is the -matrix for a model laplacian corresponding to a separable metric near infinity. The proof of the upper bound on the...
Quantum decay rates in chaotic scattering
Stéphane Nonnenmacher, Maciej Zworski (2005-2006)
Séminaire Équations aux dérivées partielles
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Poisson formulæ for resonances.
Maciej Zworski (1996-1997)
Séminaire Équations aux dérivées partielles
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Scattering and resolvent on geometrically finite hyperbolic manifolds with rational cusps
Colin Guillarmou (2005-2006)
Séminaire Équations aux dérivées partielles
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These notes summarize the papers [, ] on the analysis of resolvent, Eisenstein series and scattering operator for geometrically finite hyperbolic quotients with rational non-maximal rank cusps. They complete somehow the talk given at the PDE seminar of Ecole Polytechnique in october 2005.