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  DENSITY OF RESONANCES FOR SCHOTTKY GROUPS MACIEJ ZWORSKI

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Abstract:

In this talk I should like to present an estimate on the number of zeros of the Selberg zeta function for a class of Schottky groups. The method applies in greater generality and this talk should be considered as an announcement of the results of [4]. Here, I give a full proof of a special

Citations

175 Techniques in Fractal Geometry – Falconer - 2003
97 Introduction to the Theory of Linear Nonselfadjoint Operators – Gohberg, Kreĭn - 1969
21 Scattering asymptotics for Riemann surfaces – Guillopé, Zworski - 1997
13 Geometric bounds on the density of resonances for semiclassical problems – Sjostrand - 1990
13 Resonances in physics and geometry – Zworski - 1999
12 The divisor of Selberg’s zeta function for Kleinian groups – Patterson, Perry - 2001
9 Hausdorff dimension and conformal dynamics III: Computation of dimension – McMullen
8 Breit-Wigner approximation and the distribution of resonances – Petkov, Zworski - 1999
7 Polynomial bound on the number of scattering poles – Melrose - 1983
6 Quantum resonances in chaotic scattering – Lin, Zworski
6 Fractal Weyl laws for chaotic open systems – Lu, Sridhar, et al.
5 Distribution of resonances for asymptotically Euclidean manifolds – Wunsch, Zworski - 1999
4 A remarkable formula for the determinant – Pollicott, Rocha - 1997
2 The Zeta functions of Ruelle and – Fried
1 Computational study of quantum resonances in semi-classical chaotic scattering – Lin
1 Zeta-functions for expanding Anosov maps and – Ruelle
1 Dimension of the limit set and the distribution of resonances for convex co-compact hyperbolic surfaces – Zworski
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