Browse Dissertations and Theses - Mathematics by Contributor "Aimo Hinkkanen"

  • Stankewitz, Rich Lawrence (1998)
    We also develop some of the theory of Iterated Function Systems that seems to have particular importance to the study of rational semigroups.

    application/pdf

    application/pdfPDF (3MB)Restricted to U of Illinois
  • Petracovici, Lia (2003)
    In 2000, Kiwi proved that polynomials with a Cremer fixed point having the small cycles property have a non-accessible point in their Julia set. We extend Kiwi's result to the context of rational maps with a completely ...

    application/pdf

    application/pdfPDF (3MB)Restricted to U of Illinois
  • Boyd, David Andrew (1998)
    In addition in Chapter 6 we provide examples of rational semigroups where the Fatou set contains an arbitrary finite number of components. The Fatou set of a single rational function must contain zero, one, two or infinitely ...

    application/pdf

    application/pdfPDF (5MB)Restricted to U of Illinois
  • Li, Xiaosheng (2003)
    In this thesis the notion of Schottky quasiconformal groups is introduced. We study Schottky quasiconformal groups and show that the limit set L(G) of any Schottky quasi-conformal group G is uniformly perfect. Then the ...

    application/pdf

    application/pdfPDF (2MB)Restricted to U of Illinois
  • Kim, Dong-Il (2003)
    Waring's problem is about representing any function in a class of functions as a sum of kth powers of nonconstant functions in the same class. We allow complex coefficients in these kind of problems. Consider i=1p1 fiz ...

    application/pdf

    application/pdfPDF (2MB)Restricted to U of Illinois