Stable multiplicities in the length spectrum of Riemann surfaces

DOI10.1007/BF02897061zbMath0948.58005MaRDI QIDQ1279966

David Ginzburg, Ze'ev Rudnick

Publication date: 19 November 2000

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Riemann surfacetrace classlength spectrumstable multiplicity

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Compact Riemann surfaces and uniformization (30F10) Spectral theory; eigenvalue problems on manifolds (58C40)

Related Items (5)

Stable degeneracies for Ising models ⋮ Prising apart geodesics by length in hyperbolic manifolds ⋮ Distribution of Resonances for Hyperbolic Surfaces ⋮ Geometry of Riemann surfaces based on closed geodesics ⋮ Length muliplicities of hyperbolic 3-manifolds

Cites Work

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• Energy-level statistics of the Hadamard-Gutzwiller ensemble
• Surfaces and planar discontinuous groups. Revised and expanded transl. from the German by J. Stillwell
• The Selberg trace formula for \(\mathrm{PSL}(2,\mathbb R)\). Vol. I
• Number variance for arithmetic hyperbolic surfaces
• Distribution of eigenvalues for the modular group
• Arithmetic groups and the length spectrum of Riemann surfaces
• The Length Spectrum of a Riemann Surface is Always of Unbounded Multiplicity
• Semiclassical theory of spectral rigidity
• Chaotic billiards generated by arithmetic groups
• Characters of free groups represented in the two‐dimensional special linear group
• Geometry and spectra of compact Riemann surfaces

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