Boundary points as limit functions of iterated holomorphic function systems

DOI10.1090/S0002-9939-09-09683-XzbMath1184.30017OpenAlexW2091347908MaRDI QIDQ3629418

K. Tavakoli

Publication date: 27 May 2009

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-09-09683-x

zbMATH Keywords

iterated function systemholomorphic mapnon-relatively compact domain

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

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
• Random iteration of analytic maps
• Random holomorphic iterations and degenerate subdomains of the unit disk
• Dynamics in One Complex Variable. (AM-160)

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