3 papers
math.DS2026
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…
math.DS2025
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…
math.PR2025
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…