Sequences and dynamical systems associated with canonical approximation by rationals

DOI10.4064/AA154-4-3zbMATH Open1276.11134arXiv1102.4600OpenAlexW2056332921MaRDI QIDQ2895958

Andrew Haas

Publication date: 13 July 2012

Published in: Acta Arithmetica (Search for Journal in Brave)

Abstract: We study metrical properties of various subsequences associated to the sequence of rational approximants coming from the continued fraction of an irrational number. Our methods build upon Bosma, Jager and Wiedijk's proof of the Doblin-Lenstra conjecture as well as Jager's subsequent treatment of the sequence of approximation pairs.

Full work available at URL: https://arxiv.org/abs/1102.4600

zbMATH Keywords

dynamical systemsDiophantine approximationDoeblin-Lenstra conjecture

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items (1)

Rational dynamical systems, \(S\)-units, and \(D\)-finite power series

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