Best simultaneous Diophantine approximations and Lévy's theorem.

DOI10.5802/aif.2134zbMath1080.11052OpenAlexW2526071966MaRDI QIDQ2566837

Nicolas Chevallier

Publication date: 29 September 2005

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2005__55_5_1635_0

zbMATH Keywords

latticesDiophantine approximationsLévy's theorem

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Simultaneous homogeneous approximation, linear forms (11J13)

Related Items (1)

Equidistribution for higher-rank abelian actions on Heisenberg nilmanifolds

Cites Work

• Best simultaneous Diophantine approximations. II: Behavior of consecutive best approximations
• Geometry of the Kronecker sequence
• Meilleures approximations diophantiennes d'un élément du tore T^d
• A Metrical Theorem in Diophantine Approximation
• Divergent trajectories of flows on homogeneous spaces and Diophantine approximation.
• A two-dimensional continued fraction algorithm for best approximations with an application in cubic number fields.
• Best Simultaneously Diophantine Approximations. I. Growth Rates of Best Approximation Denominators
• Geodesic Multidimensional Continued Fractions
• Distances dans la suite des multiples d'un point du tore à deux dimensions
• Meilleures approximations d'un élément du tore
• The Signatures of the Errors of Simultaneous Diophantine Approximations
• Exposants caractéristiques de l'algorithme de Jacobi-Perron et de la transformation associée. (Characteristic exponents of the Jacobi-Perron algorithm and of the associated map)
• Cutting sequences for geodesic flow on the modular surface and continued fractions
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