Holomorphic dynamical systems in the complex plane

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    Abstract

    The paper reviews some basic properties of Julia sets of polynomials and the Mandelbrot set. In particular we emphasize the concept of normal families, the importance of repelling periodic points and the asymptotic similarities between Julia sets of certain quadratic polynomials and the Madelbrot set.
    Original languageEnglish
    Title of host publicationSelected Topics in Mathematics
    Place of PublicationLuleaa
    PublisherDept. of Math., Luleaa University of Technology
    Publication date1997
    Pages9-28
    Publication statusPublished - 1997
    EventThe First Nordic Summer School for Female PhD Students of Mathematics - Luleå University of Technology, Luleå, Sweden
    Duration: 15 Jun 199620 Jun 1996
    Conference number: 1

    Conference

    ConferenceThe First Nordic Summer School for Female PhD Students of Mathematics
    Number1
    LocationLuleå University of Technology
    Country/TerritorySweden
    CityLuleå
    Period15/06/199620/06/1996

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