Kleinian groups and iteration of quadratic maps

DOI10.1007/BF01189128zbMath0677.20031MaRDI QIDQ1123262

Karl Leschinger

Publication date: 1990

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

iterationtracebasin of attractionquadratic functionMoebius transformationdiscrete non elementary group

Mathematics Subject Classification ID

Fixed-point theorems on manifolds (58C30) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Cites Work

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• Über einige Ungleichungen bei Bewegungsgruppen in der nichteuklidischen Ebene
• Invariant sets under iteration of rational functions
• Iteration theory and inequalities for Kleinian groups
• On Discrete Groups of Mobius Transformations

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