Geodesic
Spectrum of Levy constants for quadratic irrationalities
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 16, Tome 263 (2000), pp. 20-33 
E. P. Golubeva. Spectrum of Levy constants for quadratic irrationalities. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 16, Tome 263 (2000), pp. 20-33. http://geodesic.mathdoc.fr/item/ZNSL_2000_263_a2/
@article{ZNSL_2000_263_a2,
     author = {E. P. Golubeva},
     title = {Spectrum of {Levy} constants for quadratic irrationalities},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {20--33},
     year = {2000},
     volume = {263},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2000_263_a2/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

It is proved that $\pi^2/12\log2$ is a condensation point of the set of Levy constants for quadratic irrationalities of the form $\sqrt d$. Conditions are obtained under which the Levy constant for $\sqrt d$ is separated from the left bounding point for the Levy constants, i.e., from $\log(1 + \sqrt5)/2$.