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arXiv:2108.05408 [math.DS]AbstractReferencesReviewsResources

The Poincaré exponent and the dimensions of Kleinian limit sets

Jonathan M. Fraser

Published 2021-08-11Version 1

We provide a proof of the (well-known) result that the Poincar\'e exponent of a non-elementary Kleinian group is a lower bound for the upper box dimension of the limit set. Our proof only uses elementary hyperbolic and fractal geometry.

Comments: Expository, 6 pages. This article has been accepted for publication in The American Mathematical Monthly, published by Taylor & Francis
Categories: math.DS, math.MG
Subjects: 28A80, 30F40
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