Geometric properties of the Markov and Lagrange spectra
classification
🧮 math.NT
keywords
spectrageometriclagrangemarkovpropertiesprovealwaysassume
read the original abstract
We prove several results on (fractal) geometric properties of the classical Markov and Lagrange spectra. In particular, we prove that the Hausdorff dimensions of intersections of both spectra with half-lines always coincide, and may assume any real value in the interval $[0, 1]$.
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