Poincaré series for surfaces with boundary

DOI10.1088/1361-6544/ac9507OpenAlexW3170237801MaRDI QIDQ5042396

Yann Chaubet

Publication date: 19 October 2022

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.07604

zbMATH Keywords

Poincaré seriesPollicott-Ruelle resonancesmicrolocal analysisnegatively curved surfacesorthogeodesics

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Cites Work

• Pollicott-Ruelle resonances for open systems
• Orthospectra of geodesic laminations and dilogarithm identities on moduli space
• Hyperbolic volume of manifolds with geodesic boundary and orthospectra
• Chimneys, Leopard spots and the identities of Basmajian and Bridgeman
• The Orthogonal Spectrum of a Hyperbolic Manifold
• Identities on hyperbolic manifolds
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