The asymptotic behavior of Green's functions for degenerating hyperbolic surfaces
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Publication:1319320
DOI10.1007/BF02571664zbMath0792.53040OpenAlexW1986771847MaRDI QIDQ1319320
Publication date: 2 August 1994
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/174493
Global Riemannian geometry, including pinching (53C20) Perturbations of PDEs on manifolds; asymptotics (58J37)
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Cites Work
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- The Selberg trace formula for \(\text{PSL}(2,\mathbb R)\). Vol. 2
- Small eigenvalues of Riemann surfaces and graphs
- The hyperbolic metric and the geometry of the universal curve
- Infinite energy harmonic maps and degeneration of hyperbolic surfaces in moduli space
- Spectral limits for hyperbolic surfaces. I
- Spectral degeneration of hyperboloc Riemann surfaces
- Asymptotic behavior of Faltings's delta function
- The asymptotics of the Arakelov-Green's function and Faltings' delta invariant
- Elliptic Partial Differential Equations of Second Order
- Regular 𝑏-groups, degenerating Riemann surfaces, and spectral theory
