On the uniform equidistribution of closed horospheres in hyperbolic manifolds

DOI10.1112/plms/pdr052zbMath1257.37026arXiv1103.3444OpenAlexW2022961982MaRDI QIDQ2909054

Anders Södergren

Publication date: 29 August 2012

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.3444

zbMATH Keywords

equidistributionhyperbolic manifolds

Mathematics Subject Classification ID

Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

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Residual equidistribution of modular symbols and cohomology classes for quotients of hyperbolic 𝑛-space ⋮ On the rate of equidistribution of expanding horospheres in finite-volume quotients of \(\mathrm{SL}(2,\mathbb{C})\) ⋮ Directions in hyperbolic lattices ⋮ Fourier expansion of light‐cone Eisenstein series ⋮ On the rate of equidistribution of expanding translates of horospheres in \(\Gamma\backslash G\) ⋮ Hyperbolic Eisenstein series on \(n\)-dimensional hyperbolic spaces ⋮ Distribution of cusp sections in the Hilbert modular orbifold

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