Numerical resonances for Schottky surfaces via Lagrange-Chebyshev approximation
arXiv:2002.03334 · doi:10.1142/S0219493721400050
Abstract
We present a numerical method to calculate resonances of Schottky surfaces based on Selberg theory, transfer operator techniques and Lagrange-Chebyshev approximation. This method is an alternative to the method based on periodic orbit expansion used previously in this context.
26 pages, 10 figures, v2: more references and details added
References in corpus (5)
- Spectral gaps without the pressure condition
- Spectral Galerkin methods for transfer operators in uniformly expanding dynamics
- Lagrange approximation of transfer operators associated with holomorphic data
- Zero is a resonance of every Schottky surface
- Zeros of the Selberg zeta function for symmetric infinite area hyperbolic surfaces