Resonances and density bounds for convex co-compact congruence subgroups of \(\mathrm{SL}_2(\mathbb Z)\)

DOI10.1007/s11856-016-1332-7zbMath1391.11076OpenAlexW2418677108MaRDI QIDQ314413

Dmitry Jakobson, Frédéric Naud

Publication date: 16 September 2016

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-016-1332-7

zbMATH Keywords

convex-cocompact groupsthin groups

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Hecke-Petersson operators, differential operators (several variables) (11F60)

Related Items (8)

Explicit spectral gaps for random covers of Riemann surfaces ⋮ Hecke triangle groups, transfer operators and Hausdorff dimension ⋮ Symmetry reduction of holomorphic iterated function schemes and factorization of Selberg zeta functions ⋮ Density of resonances for covers of Schottky surfaces ⋮ Large degree covers and sharp resonances of hyperbolic surfaces ⋮ Fractal Weyl laws and wave decay for general trapping ⋮ Mathematical study of scattering resonances ⋮ Zeros of the Selberg zeta function for symmetric infinite area hyperbolic surfaces

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