Upper and lower fast Khintchine spectra in continued fractions

DOI10.1007/s00605-016-0879-zzbMath1345.28011arXiv1406.1148OpenAlexW2949374050MaRDI QIDQ284077

Lingmin Liao, Michał Rams

Publication date: 17 May 2016

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.1148

zbMATH Keywords

continued fractionmultifractal spectrumKhintchine exponents

Mathematics Subject Classification ID

Hausdorff and packing measures (28A78) Metric theory of continued fractions (11K50)

Related Items (10)

On upper and lower fast Khintchine spectra of continued fractions ⋮ Big Birkhoff sums in $d$-decaying Gauss like iterated function systems ⋮ Multifractal analysis of the convergence exponent in continued fractions ⋮ ON SOME EXCEPTIONAL SETS IN ENGEL EXPANSIONS AND HAUSDORFF DIMENSIONS ⋮ Full dimensional sets of reals whose sums of partial quotients increase in certain speed ⋮ Large deviation principle for arithmetic functions in continued fraction expansion ⋮ MULTIFRACTAL ANALYSIS OF THE BIRKHOFF SUMS OF SAINT-PETERSBURG POTENTIAL ⋮ On the exponent of convergence of the digit sequence of Engel series ⋮ Some exceptional sets of Borel-Bernstein theorem in continued fractions ⋮ Limit theorems for counting large continued fraction digits

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