Improved fractal Weyl bounds for hyperbolic manifolds. With an appendix by David Borthwick, Semyon Dyatlov and Tobias Weich

© European Mathematical Society 2019. We give a new fractal Weyl upper bound for resonances of convex co-compact hyperbolic manifolds in terms of the dimension n of the manifold and the dimension δ of its limit set. More precisely, we show that as R → ∞, the number of resonances in the box [R, R+1]...

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Bibliographic Details
Main Authors: Dyatlov, Semyon, Borthwick, David, Weich, Tobias
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: European Mathematical Publishing House 2021
Online Access:https://hdl.handle.net/1721.1/136185