Quantitative spectral gap for thin groups of hyperbolic isometries

DOI10.4171/JEMS/500zbMath1332.11058arXiv1112.2004MaRDI QIDQ2018709

Michael Magee

Publication date: 25 March 2015

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.2004

zbMATH Keywords

hyperbolic manifoldspectral gapLaplacian operatorthin groups

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (11)

Explicit spectral gaps for random covers of Riemann surfaces ⋮ Large degree covers and sharp resonances of hyperbolic surfaces ⋮ Near optimal spectral gaps for hyperbolic surfaces ⋮ Generalization of Selberg's \(\frac {3}{16} \) theorem and affine sieve ⋮ On Sarnak’s Density Conjecture and Its Applications ⋮ Tent property of the growth indicator functions and applications ⋮ Local-global principles in circle packings ⋮ Eigenvalues of congruence covers of geometrically finite hyperbolic manifolds ⋮ Spectral gap and exponential mixing on geometrically finite hyperbolic manifolds ⋮ On Selberg’s eigenvalue conjecture for moduli spaces of abelian differentials ⋮ Generalization of Selberg's 3/16 theorem for convex cocompact thin subgroups of \(\operatorname{SO}(n, 1)\)

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