Intrinsic Diophantine approximation in Carnot groups and in the Siegel model of the Heisenberg group

DOI10.1007/s00605-020-01406-7zbMath1446.11140arXiv1510.06033OpenAlexW3016342664MaRDI QIDQ2189431

Anton Lukyanenko, Joseph Vandehey

Publication date: 15 June 2020

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.06033

zbMATH Keywords

Heisenberg groupDiophantine approximationcontinued fractionsCarnot groupSchmidt gamesbadly approximable

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Nilpotent and solvable Lie groups (22E25) Metric theory (11J83) Sub-Riemannian geometry (53C17)

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Ergodicity of Iwasawa continued fractions via markable hyperbolic geodesics

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