Showing math.DSShow all
2 papers · 1 filter
math.DS2026
Dimension properties of a family of random self-similar iterated function systems
Vilma Orgoványi, Károly Simon
In this note we present a dimension formula for certain randomized self-similar sets. The self-similar sets we are considering are -dimensional generalizations of rational proje…
math.DS2024
Interior points and Lebesgue measure of overlapping Mandelbrot percolation sets
Vilma Orgoványi, Károly Simon
We consider a special one-parameter family of d-dimensional random, homogeneous self-similar iterated function systems (IFSs) satisfying the finite type condition. The object of ou…