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The Poincaré Exponent and the Dimensions of Kleinian Limit Sets

The Poincaré Exponent and the Dimensions of Kleinian Limit Sets

Kleinian groups are discrete groups of isometries of hyperbolic space. Their actions give rise to intricate fractal limit sets on the boundary at infinity and there is great interest in estimating the “dimension” of these limit sets. As an invitation to this fascinating area, we provide a proof of the …