Topological measures,image transformations and self-similar sets |
| |
| Authors: | Johan F. Aarnes Ørjan Johansen Alf B. Rustad |
| |
| Affiliation: | (1) Department of Mathematical Sciences, Norwegian University of Science and Technology, Trondheim, Norway;(2) Department of Mathematical Sciences, Norwegian University of Science and Technology, Trondheim, Norway;(3) Department of Mathematical Sciences, Norwegian University of Science and Technology, Trondheim, Norway |
| |
| Abstract: | Summary This paper introduces a novel idea: the concept of an image transformation. We also introduce the closely related concept of a quasi-homomorphism, and study the properties of these mathematical objects, and give several examples. In particular we investigate iterated systems of image transformations, which we believe give a more realistic approach to the study of so called self-similar structures in nature than what is obtained by iterated function systems. |
| |
| Keywords: | topological measures image transformations self-similar sets quasi-homomorphism iterated image transformation systems |
| 本文献已被 SpringerLink 等数据库收录！ |
|
