Lower bounds for resonances of infinite-area Riemann surfaces

DOI10.2140/apde.2010.3.207zbMath1243.11064OpenAlexW2057494761MaRDI QIDQ638824

Dmitry Jakobson, Frédéric Naud

Publication date: 15 September 2011

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: http://msp.berkeley.edu/apde/2010/3-2/p05.xhtml

zbMATH Keywords

geodesicstrace formularesonancesLaplacianarithmetic Fuchsian groups

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (9)

Hecke triangle groups, transfer operators and Hausdorff dimension ⋮ Fractal Weyl laws for asymptotically hyperbolic manifolds ⋮ Scattering phase asymptotics with fractal remainders ⋮ Fractal Weyl law for open quantum chaotic maps ⋮ Mathematical study of scattering resonances ⋮ Distribution of Resonances for Hyperbolic Surfaces ⋮ Spectral deviations for the damped wave equation ⋮ An introduction to fractal uncertainty principle ⋮ Resonance projectors and asymptotics for 𝑟-normally hyperbolic trapped sets

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