On the critical line of convex co-compact hyperbolic surfaces

DOI10.1007/s00039-012-0154-yzbMath1284.30035OpenAlexW2042940983MaRDI QIDQ438650

Dmitry Jakobson, Frédéric Naud

Publication date: 31 July 2012

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00039-012-0154-y

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items (14)

Resonances for open quantum maps and a fractal uncertainty principle ⋮ Hecke triangle groups, transfer operators and Hausdorff dimension ⋮ Symmetry reduction of holomorphic iterated function schemes and factorization of Selberg zeta functions ⋮ Resonances and density bounds for convex co-compact congruence subgroups of \(\mathrm{SL}_2(\mathbb Z)\) ⋮ Spectral gaps, additive energy, and a fractal uncertainty principle ⋮ Global normal form and asymptotic spectral gap for open partially expanding maps ⋮ Large degree covers and sharp resonances of hyperbolic surfaces ⋮ Determinants of Laplacians on random hyperbolic surfaces ⋮ Density and location of resonances for convex co-compact hyperbolic surfaces ⋮ Spectral gaps without the pressure condition ⋮ Mathematical study of scattering resonances ⋮ Distribution of Resonances for Hyperbolic Surfaces ⋮ Numerical resonances for Schottky surfaces via Lagrange–Chebyshev approximation ⋮ Zeros of the Selberg zeta function for symmetric infinite area hyperbolic surfaces

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