Geometry of the Kronecker sequence

DOI10.1007/BF02677849zbMath0893.11028MaRDI QIDQ1382625

Nicolas Chevallier

Publication date: 24 August 1998

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156334

zbMATH Keywords

Kronecker sequenceisotropic discrepancypartitions of the torus into convex polytopes

Mathematics Subject Classification ID

Polytopes and polyhedra (52B99) General theory of distribution modulo (1) (11K06)

Related Items (2)

Eleven Euclidean distances are enough ⋮ Best simultaneous Diophantine approximations and Lévy's theorem.

Cites Work

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• On Lovász' lattice reduction and the nearest lattice point problem
• On the discrepancy of convex plane sets
• On the distribution of the multiples of an s-tupel of real numbers
• Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
• Best simultaneous Diophantine approximations. II: Behavior of consecutive best approximations
• Convergence rates for the isotrope discrepancy
• On the theory of diophantine approximations. I1 (on a problem of A. Ostrowski)
• On the distribution of s-dimensional Kronecker-sequences
• Rational approximation vectors
• Best Simultaneously Diophantine Approximations. I. Growth Rates of Best Approximation Denominators
• Geodesic Multidimensional Continued Fractions
• Meilleures approximations d'un élément du tore
• Irregularities for distribution IX

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