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20132026
most citedA code space for a generalized IFS

17 citations · 52 across the 20 of their papers we have counts for

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Showing 2018Show all

3 papers · 1 filter

math.DS2018

Connectedness of attractors of a certain family of IFSs

Filip Strobin, Jarosław Swaczyna

Let be a Banach space and be contractions. We investigate the set $$ C_{f,g}:=\{w\in X:\m{ the attractor of IFS }\F_w=\{f,g+w\}\m{ is connected}\}. $$ The…

math.DS2018

Zero-dimensional compact metrizable spaces as attractors of generalized iterated function systems

Łukasz Maślanka, Filip Strobin

Miculescu and Mihail in 2008 introduced the concept of a \emph{generalized iterated function system} (GIFS in~short), a particular extension of the classical IFS. The idea is that,…

math.MG2018★ 4 cited

Embedding fractals in Banach, Hilbert or Euclidean spaces

Taras Banakh, Magdalena Nowak, Filip Strobin

By a metric fractal we understand a compact metric space endowed with a finite family of contracting self-maps of such that . I…