Hausdorff Dimension in Inhomogeneous Diophantine Approximation

DOI10.1093/imrn/rnz073zbMath1470.11212arXiv1805.10436OpenAlexW2962960871WikidataQ128208505 ScholiaQ128208505MaRDI QIDQ5005262

Seonhee Lim, Michał Rams, Dong Han Kim, Yann Bugeaud

Publication date: 9 August 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.10436

zbMATH Keywords

Hausdorff dimension\(\varepsilon \)-badly approximable numbers

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fractals (28A80) Diophantine approximation in probabilistic number theory (11K60) Inhomogeneous linear forms (11J20)

Related Items (4)

Dynamics of Ostrowski skew-product: 1. Limit laws and Hausdorff dimensions ⋮ On Hausdorff dimension in inhomogeneous Diophantine approximation over global function fields ⋮ On homogeneous and inhomogeneous Diophantine approximation over the fields of formal power series ⋮ Diophantine transference inequalities: weighted, inhomogeneous, and intermediate exponents

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