Numerical resonances for Schottky surfaces via Lagrange–Chebyshev approximation
DOI10.1142/S0219493721400050zbMath1492.30002arXiv2002.03334MaRDI QIDQ4959354
Alexander Weisse, Oscar F. Bandtlow, Anke D. Pohl, Torben Schick
Publication date: 13 September 2021
Published in: Stochastics and Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.03334
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Computational methods for problems pertaining to functions of a complex variable (30-08)
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- Symmetry reduction of holomorphic iterated function schemes and factorization of Selberg zeta functions
- Generalization of Selberg's \(\frac {3}{16} \) theorem and affine sieve
- On the critical line of convex co-compact hyperbolic surfaces
- Symmetries of the transfer operator for \(\Gamma_0(N)\) and a character deformation of the Selberg zeta function for \(\Gamma_0(4)\)
- On the thermodynamic formalism for the Gauss map
- Explicit spectral gaps for random covers of Riemann surfaces
- Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature
- Scattering asymptotics for Riemann surfaces
- The Selberg zeta function for convex co-compact Schottky groups
- Spectral Galerkin methods for transfer operators in uniformly expanding dynamics
- Spectral gaps without the pressure condition
- The divisor of Selberg's zeta function for Kleinian groups. Appendix A by Charles Epstein
- Upper bounds on the number of resonances for non-compact Riemann surfaces
- Meromorphic continuation of Selberg zeta functions with twists having non-expanding cusp monodromy
- Zeros of the Selberg zeta function for symmetric infinite area hyperbolic surfaces
- Selberg zeta functions and transfer operators. An experimental approach to singular perturbations
- Selberg's zeta function and the spectral geometry of geometrically finite hyperbolic surfaces
- Density of resonances for covers of Schottky surfaces
- Perturbation of Zeros of the Selberg Zeta Function for Γ0(4)
- Low-temperature large-distance asymptotics of the transversal two-point functions of the XXZ chain
- The thermodynamic formalism approach to Selberg’s zeta function for 𝑃𝑆𝐿(2,𝐙)
- Numerical Methods in Scientific Computing, Volume I
- On the Ruelle eigenvalue sequence
- On the numerical evaluation of Fredholm determinants
- The Discrete Cosine Transform
- From Euler, Ritz, and Galerkin to Modern Computing
- Discrete Cosine Transform
- Distribution of Resonances for Hyperbolic Surfaces
- Uniform exponential mixing and resonance free regions for convex cocompact congruence subgroups of $\operatorname {SL}_2(\mathbb {Z})$
- Spectral theory of infinite-area hyperbolic surfaces
- Traces and determinants of linear operators