Big Birkhoff sums in $d$-decaying Gauss like iterated function systems

DOI10.4064/sm201031-23-8zbMath1490.11077arXiv1905.02547OpenAlexW3216408263WikidataQ114021980 ScholiaQ114021980MaRDI QIDQ5066726

Michał Rams, Lingmin Liao

Publication date: 30 March 2022

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.02547

zbMATH Keywords

Hausdorff dimensionGauss mapcontinued fractionsBirkhoff sum

Mathematics Subject Classification ID

Fractals (28A80) Dynamical systems involving maps of the interval (37E05) Metric theory of continued fractions (11K50)

Related Items (12)

On upper and lower fast Khintchine spectra of continued fractions ⋮ Multifractal analysis of the convergence exponent in continued fractions ⋮ SOME RESULTS ON THE LARGEST PARTIAL QUOTIENT IN CONTINUED FRACTIONS ⋮ Dimension theory of Lüroth digits ⋮ Fast dimension spectrum for a potential with a logarithmic singularity ⋮ The convergence exponent and the well approximated sets for Lüroth expansion ⋮ Dimensions of certain sets of continued fractions with non-decreasing partial quotients ⋮ On the growth behavior of partial quotients in continued fractions ⋮ A remark on big Birkhoff sums in \(d\)-decaying Gauss like iterated function systems ⋮ Dimension of exceptional sets arising by the longest block function in Lüroth expansions ⋮ Relative convergence speed of Lüroth expansions and Hausdorff dimension ⋮ On the distribution of the digits in Lüroth expansions

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