A remark on big Birkhoff sums in \(d\)-decaying Gauss like iterated function systems

DOI10.1016/j.jmaa.2020.124350zbMath1453.37002OpenAlexW3039488720MaRDI QIDQ2207651

Mengjie Zhang

Publication date: 23 October 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.124350

zbMATH Keywords

Hausdorff dimensionBirkhoff sumsGauss-like iterated function systems

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical systems involving maps of the interval (37E05)

Cites Work

• Unnamed Item
• On the fast Khintchine spectrum in continued fractions
• Multifractal analysis of the divergence points of Birkhoff averages for \(\beta \)-transformations
• On the distribution for sums of partial quotients in continued fraction expansions
• RECURRENCE, DIMENSION AND ENTROPY
• On sums of partial quotients in continued fraction expansions
• On Khintchine exponents and Lyapunov exponents of continued fractions
• MULTIFRACTAL ANALYSIS OF THE BIRKHOFF SUMS OF SAINT-PETERSBURG POTENTIAL
• Big Birkhoff sums in $d$-decaying Gauss like iterated function systems
• Subexponentially increasing sums of partial quotients in continued fraction expansions
• Increasing digit subsystems of infinite iterated function systems
• Multifractal analysis of Birkhoff averages for countable Markov maps

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