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Random holomorphic iterations and degenerate subdomains of the unit disk

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Publication:5705545
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DOI10.1090/S0002-9939-05-08280-8zbMath1085.30021arXivmath/0503079OpenAlexW2003671306MaRDI QIDQ5705545

Nikola Lakic, Linda Keen

Publication date: 9 November 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0503079

zbMATH Keywords

iterated function systemholomorphic self-maps


Mathematics Subject Classification ID

Extremal problems for conformal and quasiconformal mappings, variational methods (30C70) Extremal problems for conformal and quasiconformal mappings, other methods (30C75)


Related Items

Repeated compositions of Möbius transformations, Boundary points as limit functions of iterated holomorphic function systems



Cites Work

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  • Compositions of contractions
  • Compositions of analytic functions of the form \(F_ n(z)=F_{n-1}(f_ n(z))\), \(f_ n(z)\to f(z)\)
  • Complex dynamics
  • Rigidity of connected limit sets of conformal IFSs.
  • L^q densities for measures associated with parabolic IFS with overlaps
  • Random iteration of analytic maps
  • Comparing Poincaré densities
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