Diophantine approximation by negative continued fraction

DOI10.3836/tjm/1502179364arXiv2005.04371MaRDI QIDQ6171970

Hiroaki Ito

Publication date: 18 July 2023

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.04371

zbMATH Keywords

continued fractionsergodic theorymetric Diophantine approximation

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Metric theory of continued fractions (11K50)

Cites Work

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• Ergodicity of \(N\)-continued fraction expansions
• Estimates for partial sums of continued fraction partial quotients
• Random f-expansions
• Trimmed sums for non-negative, mixing stationary processes.
• Infinite Ergodic Theory of Numbers
• 'The mother of all continued fractions'