Asymptotics of the length spectrum for hyperbolic manifolds of infinite volume

DOI10.1007/PL00001668zbMath0986.11059OpenAlexW2024146965MaRDI QIDQ5937270

Peter A. Perry

Publication date: 12 July 2001

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00001668

zbMATH Keywords

prime number theoremscattering matrixconvex co-compact hyperbolic manifoldconvex cocompact Kleinian groupSelberg zeta functionSelberg zeta-function

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) 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) Perturbations of PDEs on manifolds; asymptotics (58J37)

Related Items (7)

Amenability, critical exponents of subgroups and growth of closed geodesics ⋮ The Selberg zeta function for convex co-compact Schottky groups ⋮ Resolvent of the Laplacian on geometrically finite hyperbolic manifolds ⋮ Strichartz estimates without loss on manifolds with hyperbolic trapped geodesics ⋮ On the spectral theory and dynamics of asymptotically hyperbolic manifolds ⋮ Wave decay on convex co-compact hyperbolic manifolds ⋮ Dynamics and Zeta functions on conformally compact manifolds

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