Geodesic
Quadratic Irrationals in the Lower Lagrange Spectrum
Canadian journal of mathematics, Tome 25 (1973) no. 3, pp. 578-584

Voir la notice de l'article provenant de la source Cambridge University Press

We let , where the xi are positive integers and i ∈ N, the set of all integers. We define , where where . We let = [0; x1, x2, ... ] where We let and define The range of L(ξ) is known as the Lagrange spectrum and the range of M(ξ) as the Markov spectrum. It is known that both are closed and that the Markov spectrum includes the Lagrange spectrum. 
Davis, Nancy; Kinney, J. R. Quadratic Irrationals in the Lower Lagrange Spectrum. Canadian journal of mathematics, Tome 25 (1973) no. 3, pp. 578-584. doi: 10.4153/CJM-1973-059-3
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