Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 6 of 6 for “"quasiconformal"”.
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Quasiconformal Groups
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 concept of Schottky-type quasiconformal groups is introduced, and we generalize …
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Quasiconformal mappings on planar surfaces
… discusses three different projects concerning quasiconformal mappings on planar surfaces. In the first two projects we show that a priori weaker conditions still suffice to prove quasiconformality. The geometric definition states that an orientation-preserving homeomorphism f:U → f(U) is …
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Quasiconformal mappings and fractal geometry
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2023-12-04 without embargo terms
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The Beurling-Ahlfors extension and Conformal welding
… investigate the properties of quasisymmetric and quasiconformal functions and derive various inequalities for them. Later in the chapter we define the so-called Beurlin-Ahlfors extension to quasisymmetric functions and show that this function is in fact quasiconformal. In the third chapter, we …
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Investigating the infinite spider's web in complex dynamics
… we prove that components with bounded orbits are quasiconformally homeomorphic to components of the filled Julia set of a polynomial. We prove that there are singleton periodic components and that these are dense in the Julia set. Next, we investigate the connectedness properties of the set of …
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Metric geometry of the Grushin plane and generalizations
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2018-03-13 without embargo terms