Numerical resonances for Schottky surfaces via Lagrange–Chebyshev approximation-Reference-Cited by-同舟云学术

Numerical resonances for Schottky surfaces via Lagrange–Chebyshev approximation

Published:2020-08-28 Issue: Volume: Page:2140005
ISSN:0219-4937
Container-title:Stochastics and Dynamics
language:en
Short-container-title:Stoch. Dyn.

Author:

Bandtlow Oscar F.¹,Pohl Anke²,Schick Torben³,Weiße Alexander⁴

Affiliation:

1. School of Mathematical Sciences, Queen Mary University of London, London E3 4NS, UK

2. University of Bremen, Department 3 — Mathematics, Bibliothekstr. 5, 28359 Bremen, Germany

3. Hauburgsteinweg 47, 61476 Kronberg, Germany

4. Max Planck Institute for Mathematics, Vivatsgasse 7, 53111 Bonn, Germany

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219493721400050

Reference25 articles.

1. Discrete Cosine Transform

2. On the Ruelle eigenvalue sequence

3. On the numerical evaluation of Fredholm determinants

4. Distribution of Resonances for Hyperbolic Surfaces

5. Selberg's zeta function and the spectral geometry of geometrically finite hyperbolic surfaces

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