Continued fractions and Brjuno functions

DOI10.1016/S0377-0427(99)00029-1zbMath0953.30002MaRDI QIDQ1301986

Pierre Moussa, Andrea Cassa, Stefano Marmi

Publication date: 23 January 2001

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Brjuno functions

Mathematics Subject Classification ID

Continued fractions; complex-analytic aspects (30B70)

Related Items (10)

A canonical thickening of ℚ and the entropy ofα-continued fraction transformations ⋮ An entropy problem of the \(\alpha \)-continued fraction maps ⋮ Generalized Brjuno functions associated to \(\alpha \)-continued fractions ⋮ Natural extensions and entropy of \(\alpha \)-continued fraction expansion maps with odd partial quotients ⋮ On the Legendre constant of \(\alpha \)-continued fractions ⋮ \(\alpha\)-expansions with odd partial quotients ⋮ On the equivalence relations of \(\alpha\)-continued fractions ⋮ Natural extensions for \(\alpha \)-Rosen continued fractions ⋮ On the regularity and approximation of invariant densities for random continued fractions ⋮ Tanaka–Ito α-continued fractions and matching

Cites Work

• Metrical theory for a class of continued fraction transformations and their natural extensions
• The Brjuno functions and their regularity properties
• Critical functions for complex analytic maps
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