About statistics of periods of continued fractions of quadratic irrationalities

DOI10.1007/s11853-010-0036-5zbMath1229.11104arXiv0904.0616OpenAlexW2103909911MaRDI QIDQ611964

Eh. Yu. Lerner

Publication date: 15 December 2010

Published in: Functional Analysis and Other Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.0616

zbMATH Keywords

continued fractionsArnold conjecture``Nose-Hoover algorithmBykovskii's theoremGauss-Kuzmin statisticsmediantquadratic irrationalities

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Metric theory of continued fractions (11K50)

Related Items (1)

On the evolution of continued fractions in a fixed quadratic field

Cites Work

• The sails of the \(\text{SL}(2,\mathbb Z)\) operators and their symmetries
• Continued fractions, modular symbols, and noncommutative geometry
• On finite continued fractions
• Continued fractions of square roots of rational numbers and their statistics
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