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Projections of self-affine sets onto lines
We prove an all-directions Marstrand-Mattila projection theorem for self-affine measures and sets in $\mathbb{R}^d$. Under exponential …
Balázs Bárány, Antti Käenmäki, István Kolossváry
Project arXiv zbMATH
On exponential separation of analytic self-conformal sets on the real line
In a recent article, Rapaport showed that the there is no dimension drop for exponentially separated analytic IFSs on the real line. We …
Balázs Bárány, István Kolossváry, Sascha Troscheit
Project arXiv zbMATH
Recent Progress on Fractal Percolation
This is a survey paper about the fractal percolation process, also known as Mandelbrot percolation. It is intended to give a general …
István Kolossváry, Sascha Troscheit
Project arXiv zbMATH
Limiting joint distribution of greatest common divisors in random hypercubes
The limiting distribution of the greatest common divisor (gcd) of a $D$-tuple of random natural numbers is known. We generalise this by …
István Kolossváry
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