Asymptotic behavior of the Selberg zeta functions for degenerating families of hyperbolic manifolds

DOI10.1007/s00220-011-1408-5zbMath1294.11147OpenAlexW2137746681WikidataQ57621823 ScholiaQ57621823MaRDI QIDQ664327

Jay A. Jorgenson, Muharem Avdispahić, Lejla Smajlovic

Publication date: 1 March 2012

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

Full work available at URL: https://doi.org/10.1007/s00220-011-1408-5

zbMATH Keywords

Selberg zeta functionspinching geodesicssequence of finite volume, hyperbolic manifolds

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Geodesics in global differential geometry (53C22) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (2)

Spectral asymptotics on sequences of elliptically degenerating Riemann surfaces ⋮ ON THE DISTRIBUTION OF ZEROS OF THE DERIVATIVE OF SELBERG’S ZETA FUNCTION ASSOCIATED TO FINITE VOLUME RIEMANN SURFACES

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