Corpus ID: 119145445

# Dimension of bad sets for non-uniform Fuchsian lattices

@inproceedings{Marchese2018DimensionOB,
title={Dimension of bad sets for non-uniform Fuchsian lattices},
author={Luca Marchese},
year={2018}
}
• Luca Marchese
• Published 2018
• Mathematics
• The set of real numbers which are badly approximable by rationals admits a filtration by sets Bad($\epsilon$), whose dimension converges to 1 as $\epsilon$ goes to zero. D. Hensley computed the asymptotic for the dimension up to the first order in $\epsilon$, via an analogous estimate for the set of real numbers whose continued fraction has all entries uniformly bounded. We generalize this setting considering diophantine approximations by any non-uniform lattice in PSL(2,R). In particular we… CONTINUE READING

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