On the extremal theory of continued fractions

DOI10.1007/S10959-014-0577-5zbMath1336.11058OpenAlexW2008398472MaRDI QIDQ270215

István Berkes, Alina Bazarova, Lajos Horváth

Publication date: 7 April 2016

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: http://openlib.tugraz.at/592fca9fb55b3

zbMATH Keywords

central limit theoremcontinued fraction expansionextreme elementsmixing random variables

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Extreme value theory; extremal stochastic processes (60G70) Diophantine approximation in probabilistic number theory (11K60)

Related Items (4)

On the \(\chi^2\) statistics of leading digits of irrational rotations with a large first or second partial quotient ⋮ An upper estimate for the discrepancy of irrational rotations ⋮ Cramér type moderate deviations for self-normalized \(\psi \)-mixing sequences ⋮ ON THE LARGEST PARTIAL QUOTIENTS IN CONTINUED FRACTION EXPANSIONS

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