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- Alghamdi, AzzaUppsala universitet,Matematiska institutionen,Department of Mathematics, Faculty of Science, Albaha University, Al Baha, Saudi Arabia (author)
Attractors of compactly generated semigroups of regular polynomial mappings.
- Article/chapterEnglish2018
Publisher, publication year, extent ...
- Hindawi Limited,2018
- electronicrdacarrier
Numbers
- LIBRIS-ID:oai:DiVA.org:uu-355806
- https://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-355806URI
- https://doi.org/10.1155/2018/5698021DOI
Supplementary language notes
- Language:English
- Summary in:English
Part of subdatabase
- SwePubSwePub
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Notes
- We investigate the metric space of pluriregular sets as well as the contractions on that space induced by infinite compact families of proper polynomial mappings of several complex variables. The topological semigroups generated by such families, with composition as the semigroup operation, lead to the constructions of a variety of Julia-type pluriregular sets. The generating families can also be viewed as infinite iterated function systems with compact attractors. We show that such attractors can be approximated both deterministically and probabilistically in a manner of the classic chaos game.
Subject headings and genre
- NATURVETENSKAP Matematik Matematisk analys hsv//swe
- NATURAL SCIENCES Mathematics Mathematical Analysis hsv//eng
- Julia sets
- pluricomplex Green function
- iterated function systems
Added entries (persons, corporate bodies, meetings, titles ...)
- Klimek, MaciejUppsala universitet,Matematiska institutionen(Swepub:uu)maciejk (author)
- Kosek, MartaJagiellonian University, Faculty of Mathematics and Computer ScienceInstitute of Mathematics, Institute of Mathematics. (author)
- Uppsala universitetMatematiska institutionen (creator_code:org_t)
Related titles
- In:Complexity: Hindawi Limited1076-27871099-0526
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