Numerical Values of the Hausdorff and Packing Measures for Limit Sets of Iterated Function Systems

In the context of fractal geometry, the natural extension of volume in Euclidean space is given by Hausdorff and packing measures. These measures arise naturally in the context of iterated function systems (IFS). For example, if the IFS is finite and conformal, then the Hausdorff and packing dimensi...

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Bibliographic Details
Main Author: Reid, James Edward
Other Authors: Urbański, Mariusz
Format: Others
Language:English
Published: University of North Texas 2017
Subjects:
IFS
Online Access:https://digital.library.unt.edu/ark:/67531/metadc1011825/