Geodesic flow and decay of traces on hyperbolic surfaces
Abstract
We study pseudodifferential operators on a hyperbolic surface using ‘Zelditch quantization’ (Zelditch, 1986). We motivate and study the trace of A_{2}^{*} A_{1}(t) , where A_{2} is a fixed operator and the Zelditch symbol of A_{1}(t) evolves by geodesic flow. We find conditions under which the trace decays exponentially as t \to \pm \infty .
Fields of Study & Subjects
Aquatic and Environmental Studies
Geotechnical and Geomechanical Engineering
Methane Hydrates and Related Phenomena
Publication details
- Journal / source
- Journal of Spectral Theory
- Volume
- 16
- Issue
- 3
- Pages
- 847–873
- Publication date
- 14 May 2026
- Language
- EN