3 papers
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…
math.PR2024
Multitype branching processes in random environments with not strictly positive expectation matrices
Vilma Orgoványi, Károly Simon
It is well known that under some conditions the almost sure survival probability of a multitype branching processes in random environment is positive if the Lyapunov exponent corre…