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A note on Diophantine-type fractals for \alpha-L\"uroth systems

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Publication:2855527
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zbMath1286.11124arXiv1011.5391MaRDI QIDQ2855527

Sara Munday

Publication date: 25 October 2013

Full work available at URL: https://arxiv.org/abs/1011.5391


zbMATH Keywords

Lüroth map\(\alpha\)-Lüroth systemDiophantine fractal


Mathematics Subject Classification ID

Dynamical systems involving maps of the interval (37E05) Metric theory of continued fractions (11K50)


Related Items (6)

Hausdorff dimension of sets of numbers with large L\"uroth elements ⋮ On the derivative of the \(\alpha\)-Farey-Minkowski function ⋮ Increasing digit subsystems of infinite iterated function systems ⋮ Weakly divergent partial quotients ⋮ The recurrence set arising in \(\alpha\)-Lüroth transformation ⋮ On approximation by random Lüroth expansions




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