A Class of M\"obius Iterated Function Systems
G\"ok\c{c}e \c{C}akmak, Ali Deniz, \c{S}ahin Ko\c{c}ak
TL;DR
This paper introduces a method to generate M"obius iterated function systems within the unit disc of the complex plane, expanding the tools available for fractal and geometric analysis.
Contribution
It provides a novel procedure for constructing M"obius iterated function systems specifically on the unit disc, which was not previously detailed.
Findings
New procedure for producing M"obius IFS on the unit disc
Potential applications in fractal geometry and complex dynamics
Framework for further exploration of M"obius transformations
Abstract
We give a procedure to produce M\"obius iterated function systems (MIFS) on the unit disc in the complex plane.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Meromorphic and Entire Functions · advanced mathematical theories