Probabilistic approximation of partly filled-in composite Julia sets

DOI10.4064/AP4100-8-2017zbMath1384.32016OpenAlexW2759225233WikidataQ120784110 ScholiaQ120784110MaRDI QIDQ4596116

Maciej Klimek, Azza M. Alghamdi

Publication date: 30 November 2017

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ap4100-8-2017

zbMATH Keywords

chaos gamepolynomial mapsMonte-Carlo simulationpluricomplex Green functionspluriregular setscomposite Julia sets

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Plurisubharmonic extremal functions, pluricomplex Green functions (32U35)

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Attractors of compactly generated semigroups of regular polynomial mappings

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