The natural extension of the Gauss map and the Hermite best approximations

DOI10.5802/jtnb.1219OpenAlexW3135838626MaRDI QIDQ2086426

Nicolas Chevallier

Publication date: 25 October 2022

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.01564

zbMATH Keywords

latticeGauss mapcontinued fractionnatural extensionbest Diophantine approximation

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Relations between ergodic theory and number theory (37A44)

Related Items (1)

A dichotomy phenomenon for bad minus normed Dirichlet

Cites Work

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• Hausdorff dimension of the set of singular pairs
• Metrical theory for a class of continued fraction transformations and their natural extensions
• Best simultaneous Diophantine approximations. II: Behavior of consecutive best approximations
• Hermitian continued fractions and hyperbolic billards
• The Modular Surface and Continued Fractions
• Mesures de Gauss pour des algorithmes de fractions continues multidimensionnelles
• Geodesic Multidimensional Continued Fractions
• Cutting sequences for geodesic flow on the modular surface and continued fractions

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