Renormalization of the Hutchinson Operator

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• Main Author: Demichel, Y.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209765
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Renormalization of the Hutchinson Operator / Y. Demichel // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 24 назв. — англ.

One of the easiest and common ways of generating fractal sets in ℝᴰ is as attractors of affine iterated function systems (IFS). The classic theory of IFS requires that they are made with contractive functions. In this paper, we relax this hypothesis, considering a new operator Hρ obtained by renorma...