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- Alghamdi, AzzaUppsala universitet,Matematiska institutionen,Albaha University, Faculty of Science, Department of Mathematics (author)
Probabilistic approximation of partly filled-in composite Julia sets
- Article/chapterEnglish2017
Publisher, publication year, extent ...
- 2017
- Institute of Mathematics, Polish Academy of Sciences,2017
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- LIBRIS-ID:oai:DiVA.org:uu-339527
- https://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-339527URI
- https://doi.org/10.4064/ap4100-8-2017DOI
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- Language:English
- Summary in:English
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- We study properties of the metric space of pluriregular sets and of contractions on that space induced by finite families of proper polynomial mappings of several complex variables. In particular, we show that closed balls in the space of pluriregular sets do not have to be compact and we give a simple proof of applicability of the so-called chaos game in the case of composite Julia sets. Part of the construction of those sets also leads to a computationally viable approximation by simpler sets based on Monte-Carlo simulation.
Subject headings and genre
- NATURVETENSKAP Matematik hsv//swe
- NATURAL SCIENCES Mathematics hsv//eng
- composite Julia sets
- pluricomplex Green functions
- iterated function system
- the chaos game
- complex dynamics
- Monte-Carlo simulation
Added entries (persons, corporate bodies, meetings, titles ...)
- Klimek, MaciejUppsala universitet,Matematiska institutionen(Swepub:uu)maciejk (author)
- Uppsala universitetMatematiska institutionen (creator_code:org_t)
Related titles
- In:Annales Polonici Mathematici: Institute of Mathematics, Polish Academy of Sciences119:3, s. 203-2200066-22161730-6272
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