English

Numerical resonances for Schottky surfaces via Lagrange-Chebyshev approximation

Spectral Theory 2021-07-28 v2 Mathematical Physics Dynamical Systems math.MP

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.

Keywords

Cite

@article{arxiv.2002.03334,
  title  = {Numerical resonances for Schottky surfaces via Lagrange-Chebyshev approximation},
  author = {Oscar Bandtlow and Anke Pohl and Torben Schick and Alexander Weiße},
  journal= {arXiv preprint arXiv:2002.03334},
  year   = {2021}
}

Comments

26 pages, 10 figures, v2: more references and details added

R2 v1 2026-06-23T13:35:37.964Z