June 27, 2024Open Access

Critical exponents and dimension for generalised limit sets

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Resumen

There is a beautiful and well-studied relationship between the Poincare exponent and the fractal dimensions of the limit set of a Kleinian group. Motivated by this, given an arbitrary discrete subset of the unit ball we define a critical exponent and investigate how it relates to the fractal dimensions of the associated generalised limit set.

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Cite This Study

Feng et al. (Thu,) studied this question.

synapsesocial.com/papers/68e6312bb6db6435875c382b https://doi.org/https://doi.org/10.48550/arxiv.2406.19252

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