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math.CA2026
Projections of self-affine sets onto lines
Balázs Bárány, Antti Käenmäki, István Kolossváry
We prove an all-directions Marstrand-Mattila projection theorem for self-affine measures and sets in . Under exponential separation, together with proximality and str…
math.CA2020★ 2 cited
Hausdorff measure and Assouad dimension of generic self-conformal IFS on the line
Balázs Bárány, István Kolossváry, Michał Rams +1
This paper considers self-conformal iterated function systems (IFSs) on the real line whose first level cylinders overlap. In the space of self-conformal IFSs, we show that generic…