A generalization of the Jarník–Besicovitch theorem by continued fractions

DOI10.1017/etds.2014.98zbMath1342.11063OpenAlexW2329152239MaRDI QIDQ2813950

Jun Wu, Jian Xu, Bao-Wei Wang

Publication date: 17 June 2016

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/etds.2014.98

zbMATH Keywords

continued fractionsergodic theoryJarník-Besicovitch theoremgeneralized Jarník-Besicovitch sets

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Metric theory of continued fractions (11K50)

Related Items (9)

A DIMENSIONAL RESULT ON THE PRODUCT OF CONSECUTIVE PARTIAL QUOTIENTS IN CONTINUED FRACTIONS ⋮ Hausdorff dimension of Dirichlet non-improvable set versus well-approximable set ⋮ Irrationality exponent and convergence exponent in continued fraction expansions ⋮ On the intersections of localized Jarník sets and localized uniformly Jarník sets in continued fractions ⋮ Approximation properties of Lüroth expansions ⋮ A generalised multidimensional Jarnìk-Besicovitch theorem ⋮ The relative growth rate for partial quotients in continued fractions ⋮ Sets of Dirichlet non-improvable numbers with certain order in the theory of continued fractions ^* ⋮ HAUSDORFF DIMENSION FOR THE SET OF POINTS CONNECTED WITH THE GENERALIZED JARNÍK–BESICOVITCH SET

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