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math.DS2021★ 1 cited
On the convergence rate of the chaos game
Balázs Bárány, Natalia Jurga, István Kolossváry
This paper studies how long it takes the orbit of the chaos game to reach a certain density inside the attractor of a strictly contracting iterated function system of which we only…
math.DS2016
Pointwise regularity of parameterized affine zipper fractal curves
Balázs Bárány, Gergely Kiss, István Kolossváry
We study the pointwise regularity of zipper fractal curves generated by affine mappings. Under the assumption of dominated splitting of index-1, we calculate the Hausdorff dimensio…