Corpus ID: 119145445

Dimension of bad sets for non-uniform Fuchsian lattices

  title={Dimension of bad sets for non-uniform Fuchsian lattices},
  author={Luca Marchese},
  • 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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