An algorithm for the computation of eigenvalues, spectral zeta functions and zeta-determinants on hyperbolic surfaces

DOI10.1007/s00220-012-1557-1zbMath1261.65113arXiv1110.2150OpenAlexW3104931966WikidataQ56673739 ScholiaQ56673739MaRDI QIDQ1936424

Alexander Strohmaier, Ville Uski

Publication date: 4 February 2013

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.2150

zbMATH Keywords

algorithmconvergenceeigenvaluesLaplace operatorCasimir energyhyperbolic surfacesspectral determinantspectral zeta functionmethod of particular solutions

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Elliptic equations on manifolds, general theory (58J05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Other Dirichlet series and zeta functions (11M41) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (16)

On the Placement of an Obstacle so as to Optimize the Dirichlet Heat Content ⋮ Casimir energy and modularity in higher-dimensional conformal field theories ⋮ Uniqueness of the extremal Schwarzschild de Sitter spacetime ⋮ Macroscopic limits of chaotic eigenfunctions ⋮ Ambient constructions for Sasakian \(\eta\)-Einstein manifolds ⋮ Computation of eigenvalues, spectral zeta functions and zeta-determinants on hyperbolic surfaces ⋮ On largeness and multiplicity of the first eigenvalue of finite area hyperbolic surfaces ⋮ The motion of a vortex on a closed surface of constant negative curvature ⋮ Eigenvalues and Spectral Determinants on Compact Hyperbolic Surfaces ⋮ Topological properties of eigenfunctions of Riemannian surfaces ⋮ An introduction to fractal uncertainty principle ⋮ Explicit bounds on eigenfunctions and spectral functions on manifolds hyperbolic near a point ⋮ Calabi-Yau CFTs and random matrices ⋮ Bootstrap bounds on closed hyperbolic manifolds ⋮ Bootstrapping closed hyperbolic surfaces ⋮ Around quantum ergodicity

Uses Software

• ODEPACK

Cites Work

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