Chevallier, Nicolas The natural extension of the Gauss map and the Hermite best approximations. (English. French summary) Zbl 1508.11073 J. Théor. Nombres Bordx. 34, No. 2, 619-636 (2022). Reviewer: Oleg Karpenkov (Liverpool) MSC: 11J70 37A44 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Khanin, Kostya; Lopes Dias, João; Marklof, Jens Multidimensional continued fractions, dynamical renormalization and KAM theory. (English) Zbl 1114.37009 Commun. Math. Phys. 270, No. 1, 197-231 (2007). MSC: 37A45 11J70 22F30 37E20 37J40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chevallier, Nicolas Best simultaneous Diophantine approximations and Lévy’s theorem. (Meilleures approximations diophantiennes simultanées et théorème de Lévy.) (French) Zbl 1080.11052 Ann. Inst. Fourier 55, No. 5, 1635-1657 (2005). Reviewer: Robert F. Tichy (Graz) MSC: 11J13 11J70 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML