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 we may assume any real value in the interval $[0, 1]$.
Citation
Carlos Moreira. "Geometric properties of the Markov and Lagrange spectra." Ann. of Math. (2) 188 (1) 145 - 170, July 2018. https://doi.org/10.4007/annals.2018.188.1.3
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