Asymptotic behavior of small eigenvalues, short geodesics and period matrices on degenerating hyperbolic Riemann surfaces

DOI10.1515/form.2001.031zbMath1116.11035OpenAlexW2095260194MaRDI QIDQ2753162

Jonathan Huntley, Joseph F. Grotowski, Jay A. Jorgenson

Publication date: 29 October 2001

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/1a6d0091f83c56ba861297232a03e9b6c40345f7

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (2)

Convergence theorems for relative spectral functions on hyperbolic Riemann surfaces of finite volume ⋮ Sharp eigenvalue estimates on degenerating surfaces

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