2 papers
math.DS2026
A non-logarithmic approach to the rate of convergence of the deterministic chaos game
Krzysztof Caban, Filip Strobin
The aim of this paper is to provide a different perspective in the study of the rate of convergence of the chaos game algorithm to the attractor of an iterated function system. We…
math.DS2025
A topological approach to fuzzy iterated function systems
Taras Banakh, Krzysztof Caban, Filip Strobin
In the paper we unify two extensions of the classical Hutchinson--Barnsley theory - the topological and the fuzzy-set approaches. We show that a fuzzy iterated function system (fuz…