Geodesic
Noncoincidence of the Markov and Lagrange spectra
Matematičeskie zametki, Tome 3 (1968) no. 2, pp. 195-200 
G. A. Freiman. Noncoincidence of the Markov and Lagrange spectra. Matematičeskie zametki, Tome 3 (1968) no. 2, pp. 195-200. http://geodesic.mathdoc.fr/item/MZM_1968_3_2_a9/
@article{MZM_1968_3_2_a9,
     author = {G. A. Freiman},
     title = {Noncoincidence of the {Markov} and {Lagrange} spectra},
     journal = {Matemati\v{c}eskie zametki},
     pages = {195--200},
     year = {1968},
     volume = {3},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1968_3_2_a9/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

Using continued fractions, the paper constructs an example of a real number contained in the Markov spectrum, but not in the Lagrange spectrum.