4 papers
Multifractal analysis of Gatzouras--Lalley measures
Thomas Jordan, István Kolossváry, Alex Rutar
We study the multifractal analysis of self-affine measures supported on planar carpets of type Gatzouras--Lalley. We work primarily with Olsen's Hausdorff-dimensional variant of th…
On exponential separation of analytic self-conformal sets on the real line
Balázs Bárány, István Kolossváry, Sascha Troscheit
In a recent article, Rapaport showed that there is no dimension drop for exponentially separated analytic IFSs on the real line. We show that the set of such exponentially separate…
Recent Progress on Fractal Percolation
István Kolossváry, Sascha Troscheit
This is a survey paper about the fractal percolation process, also known as Mandelbrot percolation. It is intended to give a general breadth overview of more recent research in the…
Assouad spectrum of Gatzouras-Lalley carpets
Amlan Banaji, Jonathan M. Fraser, István Kolossváry +1
We study the fine local scaling properties of a class of self-affine fractal sets called Gatzouras-Lalley carpets. More precisely, we establish a formula for the Assouad spectrum o…