Limit theorems for sums of products of consecutive partial quotients of continued fractions

DOI10.1088/1361-6544/AC2DA9zbMath1490.11076arXiv2110.12549OpenAlexW3217630399WikidataQ113824818 ScholiaQ113824818MaRDI QIDQ5014643

Mumtaz Hussain, Yueli Yu, Hui Hu

Publication date: 8 December 2021

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.12549

zbMATH Keywords

Diophantine approximationHausdorff dimensioncontinued fractionsLebesgue measureweak and strong laws of large numbers

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Continued fractions and generalizations (11J70) Fractals (28A80) Metric theory of continued fractions (11K50)

Related Items (2)

Metrical properties of the large products of partial quotients in continued fractions ⋮ Multifractal analysis of convergence exponents for products of consecutive partial quotients in continued fractions

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