Continued fractions and restrained sequences of Möbius maps

DOI10.1216/rmjm/1181069862zbMath1051.40005OpenAlexW2088730252MaRDI QIDQ1880814

Alan F. Beardon, Lisa Lorentzen

Publication date: 1 October 2004

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181069862

zbMATH Keywords

rate of convergencecontinued fractionschordal metricmodified approximantsMöbius tranform

Mathematics Subject Classification ID

Continued fractions; complex-analytic aspects (30B70) Convergence and divergence of continued fractions (40A15)

Related Items (5)

Double cosets, rotations and isometric circles ⋮ Möbius transformations mapping the unit disk into itself ⋮ Normal families of Möbius maps ⋮ Conical limit sets and continued fractions ⋮ Continued fractions, discrete groups and complex dynamics

Cites Work

• Convergence properties of sequences ol linear fractional transformations
• The limiting behavior of sequences of Moebius transformations
• The norm of a Möbius transformation
• General Convergence of Continued Fractions
• Limiting Structures for Sequences of Linear Fractional Transformations
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