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Fractal Curvature Measures and Minkowski Content for Limit Sets of Conformal Function Systems
| File | Description | Size | Format | |
|---|---|---|---|---|
| 00102477-1.pdf | 1.84 MB | Adobe PDF | View/Open |
| Other Titles: | Fraktale Krümmungsmaße und Minkowski Inhalt für Limes-Mengen Konformer Funktionensysteme | Authors: | Kombrink, Sabrina | Supervisor: | Keßeböhmer, Marc | 1. Expert: | Keßeböhmer, Marc | 2. Expert: | Denker, Manfred | Abstract: | We characterise fractal sets arising from conformal iterated function systems and conformal graph directed Markov systems for which the Minkowski content and the fractal curvature measures exist. With this, we generalise studies that have been carried out for invariant sets of iterated function systems consisting of similarities. |
Keywords: | fractal curvature measures, Minkowski content, conformal iterated function system, conformal graph directed Markov system, self-conformal set, self-similar set | Issue Date: | 19-Dec-2011 | Type: | Dissertation | URN: | urn:nbn:de:gbv:46-00102477-19 | Institution: | Universität Bremen | Faculty: | FB3 Mathematik/Informatik |
| Appears in Collections: | Dissertationen |
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