Dimension of the limit set and the density of resonances for convex co-compact hyperbolic surfaces
From MaRDI portal
Publication:1298080
DOI10.1007/S002220050313zbMath1016.58014OpenAlexW2091015311MaRDI QIDQ1298080
Publication date: 6 March 2003
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s002220050313
Klein surfaces (30F50) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36)
Related Items (27)
The FBI transform on compact 𝒞^{∞} manifolds ⋮ Resonances for open quantum maps and a fractal uncertainty principle ⋮ Symmetry reduction of holomorphic iterated function schemes and factorization of Selberg zeta functions ⋮ A note on the resonance counting function for surfaces with cusps ⋮ Resonances on Some Geometrically Finite Hyperbolic Manifolds ⋮ Spectral gaps, additive energy, and a fractal uncertainty principle ⋮ Hyperfunctions in hyperbolic geometry ⋮ Fractal Weyl laws for asymptotically hyperbolic manifolds ⋮ Fractal upper bounds on the density of semiclassical resonances ⋮ Distribution of resonances for open quantum maps ⋮ Uniform hyperbolicity of a class of scattering maps ⋮ Weyl laws for open quantum maps ⋮ Decay of the local energy for the charged Klein-Gordon equation in the exterior de Sitter-Reissner-Nordström spacetime ⋮ Fractal Weyl laws and wave decay for general trapping ⋮ Group actions and harmonic analysis in number theory. Abstracts from the workshop held May 7--12, 2023 ⋮ Asymptotic spectral gap and Weyl law for Ruelle resonances of open partially expanding maps ⋮ The Selberg zeta function for convex co-compact Schottky groups ⋮ Density and location of resonances for convex co-compact hyperbolic surfaces ⋮ Decay and non-decay of the local energy for the wave equation on the De Sitter-Schwarzschild metric ⋮ Mathematical study of scattering resonances ⋮ Analytic Continuation and Semiclassical Resolvent Estimates on Asymptotically Hyperbolic Spaces ⋮ Distribution of Resonances for Hyperbolic Surfaces ⋮ Numerical study of quantum resonances in chaotic scattering ⋮ Strichartz estimates without loss on manifolds with hyperbolic trapped geodesics ⋮ Wave decay on convex co-compact hyperbolic manifolds ⋮ Transmission eigenvalues and the Riemann zeta function in scattering theory for automorphic forms on Fuchsian groups of type I ⋮ The divisor of Selberg's zeta function for Kleinian groups. Appendix A by Charles Epstein
This page was built for publication: Dimension of the limit set and the density of resonances for convex co-compact hyperbolic surfaces
