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arXiv · 2108.05408

The Poincar\'e exponent and the dimensions of Kleinian limit sets

Jonathan M. Fraser
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Abstract

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.

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Jonathan M. Fraser. 2021-08-11. The Poincar\'e exponent and the dimensions of Kleinian limit sets. https://arxiv.org/abs/2108.05408

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