Hausdorff dimension of sets of numbers with large L\"uroth elements

zbMath1469.11250arXiv2010.13932MaRDI QIDQ4958953

Gerardo González Robert, Aubin Arroyo

Publication date: 15 September 2021

Full work available at URL: https://arxiv.org/abs/2010.13932

zbMATH Keywords

Hausdorff dimensionLüroth elements

Mathematics Subject Classification ID

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

Related Items (3)

Chaotic sets and Hausdorff dimension for Lüroth expansions ⋮ Dimension theory of Lüroth digits ⋮ EXACT DIMENSIONS OF EXCEPTIONAL SETS IN LÜROTH EXPANSIONS

Cites Work

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• On approximation by Lüroth series
• Introduction to probability and measure
• Fractals in Probability and Analysis
• A note on Diophantine-type fractals for \alpha-L\"uroth systems
• Good’s theorem for Hurwitz continued fractions
• On Khintchine exponents and Lyapunov exponents of continued fractions
• EXACT DIMENSIONS OF EXCEPTIONAL SETS IN LÜROTH EXPANSIONS
• A dimensional result in continued fractions

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