Near 3 the authors construct big subsets of the Lagrange spectrum with coinciding truncated and level-set dimensions and prove a shrinking upper bound for the Hausdorff dimension of the Markov-minus-Lagrange set.
Bombieri, Continued fractions and the Markoff tree , Expo
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Hausdorff dimension of some subsets of the Lagrange and Markov spectra near $3$
Near 3 the authors construct big subsets of the Lagrange spectrum with coinciding truncated and level-set dimensions and prove a shrinking upper bound for the Hausdorff dimension of the Markov-minus-Lagrange set.