The Poincaré exponent and the dimensions of Kleinian limit sets
arXiv:2108.05408
Abstract
We provide a proof of the (well-known) result that the Poincaré 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.
Expository, 6 pages. This article has been accepted for publication in The American Mathematical Monthly, published by Taylor & Francis