Large degree covers and sharp resonances of hyperbolic surfaces

DOI10.5802/aif.3319zbMath1445.58013arXiv1710.05666OpenAlexW3031516422MaRDI QIDQ2188221

Dmitry Jakobson, Louis Soares, Frédéric Naud

Publication date: 10 June 2020

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.05666

zbMATH Keywords

representation theorytransfer operatorsSelberg zeta functionhyperbolic surfacesthermodynamical formalismgeometrically finite Fuchsian groupsLaplace spectrum and resonances

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (6)

Explicit spectral gaps for random covers of Riemann surfaces ⋮ Hecke triangle groups, transfer operators and Hausdorff dimension ⋮ Density of resonances for covers of Schottky surfaces ⋮ Mini-workshop: (Anosov)\(^3\). Abstracts from the mini-workshop held December 5--11, 2021 (hybrid meeting) ⋮ Sinai billiard maps with Ruelle resonances ⋮ Kleinian Schottky groups, Patterson-Sullivan measures, and Fourier decay

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