Doubly metric theory and simultaneous shrinking target problem in Cantor series expansion

DOI10.1142/S1793042122500920zbMath1495.11089OpenAlexW4224219602WikidataQ114071805 ScholiaQ114071805MaRDI QIDQ5082494

WeiLiang Wang, Xiujian Wang, Qin Yue, Lu Li

Publication date: 16 June 2022

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042122500920

zbMATH Keywords

Diophantine approximationHausdorff measureLebesgue measureCantor series expansions

Mathematics Subject Classification ID

Fractals (28A80) Metric theory (11J83) Hausdorff and packing measures (28A78) Diophantine approximation in probabilistic number theory (11K60)

Cites Work

• Unnamed Item
• Unnamed Item
• The metrical theory of simultaneously small linear forms
• Quantitative recurrence properties for beta-dynamical system
• Quantitative recurrence results
• The ergodic theory of shrinking targets
• Shrinking target problems for beta-dynamical system
• Dynamical covering problems on the triadic Cantor set
• Some metrical theorems in number theory
• SHRINKING TARGETS FOR NONAUTONOMOUS DYNAMICAL SYSTEMS CORRESPONDING TO CANTOR SERIES EXPANSIONS
• Dichotomy law for shrinking target problems in a nonautonomous dynamical system: Cantor series expansion
• Schmidt's theorem, Hausdorff measures, and slicing
• ON SHRINKING TARGETS FOR ℤ ^m ACTIONS ON TORI
• The shrinking target property of irrational rotations
• Shrinking targets on Bedford-McMullen carpets
• METRICAL RESULTS ON SYSTEMS OF SMALL LINEAR FORMS
• Mass transference principle for limsup sets generated by rectangles