Uniform spectral gap and orthogeodesic counting for strong convergence of Kleinian groups

We show convergence of small eigenvalues for geometrically finite hyperbolic n-manifolds under strong limits. For a class of convergent convex sets in a strongly convergent sequence of Kleinian groups, we use the spectral gap of the limit manifold and the exponentially mixing property of the geodesi...

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Bibliographic Details
Main Authors: Beibei Liu, Franco Vargas Pallete
Format: Article
Language:English
Published: Cambridge University Press 2023-01-01
Series:Forum of Mathematics, Sigma
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050509423000646/type/journal_article