Examples and Applications of Infinite Iterated Function Systems
Description:
The aim of this work is the study of infinite conformal iterated function systems. More specifically, we investigate some properties of a limit set J associated to such system, its Hausdorff and packing measure and Hausdorff dimension. We provide necessary and sufficient conditions for such systems to be bi-Lipschitz equivalent. We use the concept of scaling functions to obtain some result about 1-dimensional systems. We discuss particular examples of infinite iterated function systems derived …
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Date:
August 2000
Creator:
Hanus, Pawel Grzegorz
Partner:
UNT Libraries