Numerical resonances for Schottky surfaces via Lagrange-Chebyshev approximation

Bandtlow, Oscar; Pohl, Anke; Schick, Torben; Weiße, Alexander

doi:10.1142/S0219493721400050

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Numerical resonances for Schottky surfaces via Lagrange-Chebyshev approximation

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Pohl, Anke
Max Planck Institute for Mathematics, Max Planck Society;

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Weiße, Alexander
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1142/S0219493721400050
(Publisher version)

https://doi.org/10.48550/arXiv.2002.03334
(Preprint)

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Citation

Bandtlow, O., Pohl, A., Schick, T., & Weiße, A. (2021). Numerical resonances for Schottky surfaces via Lagrange-Chebyshev approximation. Stochastics and Dynamics, 21(3): 2140005. doi:10.1142/S0219493721400050.

Cite as: https://hdl.handle.net/21.11116/0000-0007-1588-8

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.