The limiting behavior of sequences of Moebius transformations

DOI10.1007/BF02571224zbMath0686.40002OpenAlexW2061946638MaRDI QIDQ1262482

Beat Aebischer

Publication date: 1990

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174158

zbMATH Keywords

Möbius transformationsKleinian groupsPoincaré extension

Mathematics Subject Classification ID

Convergence and divergence of continued fractions (40A15) Convergence and divergence of infinite limiting processes (40A99)

Related Items (7)

Continued fractions and restrained sequences of Möbius maps ⋮ Recurrent geodesics and controlled concentration points ⋮ Hausdorff dimension of sets of divergence arising from continued fractions ⋮ The parabola theorem on continued fractions ⋮ Conical limit sets and continued fractions ⋮ Repeated compositions of Möbius transformations ⋮ Continued fractions, discrete groups and complex dynamics

Cites Work

• Unnamed Item
• Convergence properties of sequences ol linear fractional transformations
• Convergence questions for limit periodic continued fractions
• General Convergence of Continued Fractions
• Limiting Structures for Sequences of Linear Fractional Transformations

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