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Browse Dissertations and Theses  Mathematics by Contributor "Aimo Hinkkanen"
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(1998)We also develop some of the theory of Iterated Function Systems that seems to have particular importance to the study of rational semigroups.
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(2003)In 2000, Kiwi proved that polynomials with a Cremer fixed point having the small cycles property have a nonaccessible point in their Julia set. We extend Kiwi's result to the context of rational maps with a completely ...
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(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 ...
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(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 quasiconformal group G is uniformly perfect. Then the ...
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(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 ...
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Now showing items 15 of 5