A problem of Hirst on continued fractions with sequences of partial quotients

DOI10.1112/blms/bdm103zbMath1155.11046OpenAlexW2076155129MaRDI QIDQ5459243

Jun Wu, Bao-Wei Wang

Publication date: 25 April 2008

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/bdm103

zbMATH Keywords

Hausdorff dimensioncontinued fraction

Mathematics Subject Classification ID

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

Related Items (10)

Some dimension relations of the Hirst sets in regular and generalized continued fractions ⋮ Multifractal analysis of the convergence exponent in continued fractions ⋮ Hausdorff dimension of certain sets arising in Engel continued fractions ⋮ Hausdorff dimension of certain sets arising in Engel expansions ⋮ Hausdorff dimension of sets with restricted, slowly growing partial quotients ⋮ Weakly divergent partial quotients ⋮ A generalization of the Jarník–Besicovitch theorem by continued fractions ⋮ Some exceptional sets of Borel-Bernstein theorem in continued fractions ⋮ A remark on continued fractions with sequences of partial quotients ⋮ THE SETS OF DIFFERENT CONTINUED FRACTIONS WITH THE SAME PARTIAL QUOTIENTS

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