1 citations · 2 across the 3 of their papers we have counts for
3 papers
math.DS2022
Strongly-Fibred Iterated Function Systems and the Barnsley--Vince triangle
Krzysztof Leśniak, Nina Snigireva, Filip Strobin
We review the theory of semiattractors associated with non-contractive Iterated Function Systems (IFSs) and demonstrate its applications on a concrete example. In particular, we pr…
math.DS2022★ 1 cited
Split square and split carpet as examples of non-metrizable IFS attractors
Krzysztof Leśniak, Magdalena Nowak
We define two non-metrizable compact spaces and show that they are attractors of iterated function systems. Both of them, the split square and the split carpet, are constructed usi…
math.DS2022★ 1 cited
Transition Phenomena for the Attractor of an Iterated Function System
Krzysztof Leśniak, Nina Snigireva, Filip Strobin +1
Iterated function systems (IFSs) and their attractors have been central to the theory of fractal geometry almost from its inception. And contractivity of the functions in the IFS h…