LARGE DEVIATION ASYMPTOTICS FOR CONTINUED FRACTION EXPANSIONS

DOI10.1142/S0219493708002226zbMath1241.11093arXivmath/0702381OpenAlexW3100649060MaRDI QIDQ3520444

Marc Kesseböhmer, Mehdi Slassi

Publication date: 26 August 2008

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702381

zbMATH Keywords

large deviationcontinued fractions

Mathematics Subject Classification ID

Large deviations (60F10) Metric theory of continued fractions (11K50)

Related Items (3)

A distributional limit law for the continued fraction digit sum ⋮ Large deviation principle for arithmetic functions in continued fraction expansion ⋮ Jump transformations and an embedding of O∞ into O2

Cites Work

• Transformations on [0,1 with infinite invariant measures]
• Estimates for partial sums of continued fraction partial quotients
• Random f-expansions
• The statistics of the continued fraction digit sum
• LIMIT LAWS FOR DISTORTED CRITICAL RETURN TIME PROCESSES IN INFINITE ERGODIC THEORY
• Note rectificative : “Asymptotic winding of the geodesic flow on modular surfaces and continuous fractions”
• STERN–BROCOT PRESSURE AND MULTIFRACTAL SPECTRA IN ERGODIC THEORY OF NUMBERS

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