26 citations · 174 across the 31 of their papers we have counts for
Showing math.CAShow all
3 papers · 1 filter
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…
math.CA2018
Mass transference principle: from balls to arbitrary shapes
Henna Koivusalo, Michał Rams
The mass transference principle, proved by Beresnevich and Velani in 2006, is a strong result that gives lower bounds for the Hausdorff dimension of limsup sets of balls. We presen…
math.CA2009★ 1 cited
Visible parts of fractal percolation
I. Arhosalo, E. Järvenpää, M. Järvenpää +2
We study dimensional properties of visible parts of fractal percolation in the plane. Provided that the dimension of the fractal percolation is at least 1, we show that, conditione…