Planar carpet

Assouad spectrum of Gatzouras-Lalley carpets
We study the fine local scaling properties of a class of self-affine fractal sets called Gatzouras-Lalley carpets. More precisely, we …
Amlan Banaji, Jonathan M. Fraser, István Kolossváry, Alex Rutar
Cite Project DOI arXiv zbMATH
Intermediate dimensions of Bedford–McMullen carpets with applications to Lipschitz equivalence
Intermediate dimensions were introduced to provide a spectrum of dimensions interpolating between Hausdorff and box-counting dimensions …
Amlan Banaji, István Kolossváry
Cite DOI arXiv zbMATH
On the Convergence Rate of the Chaos Game
This paper studies how long it takes the orbit of the chaos game to reach a certain density inside the attractor of a strictly …
Balázs Bárány, Natalia Jurga, István Kolossváry
Cite DOI arXiv zbMATH
An upper bound for the intermediate dimensions of Bedford-McMullen carpets
The intermediate dimensions of a set $\Lambda$, elsewhere denoted by $\dim_{\theta} \Lambda$, interpolate between its Hausdorff and box …
István Kolossváry
Cite DOI arXiv zbMATH
Triangular Gatzouras–Lalley-type planar carpets with overlaps
We construct a family of planar self-affine carpets with overlaps using lower triangular matrices in a way that generalizes the …
István Kolossváry, Károly Simon
Cite DOI arXiv zbMATH