4 citations · 7 across the 5 of their papers we have counts for
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Fractal Percolations
Károly Simon, Lajos Vágó
One of the most well known random fractals is the so-called Fractal percolation set. This is defined as follows: we divide the unique cube in into congruent su…
Singularity versus exact overlaps for self-similar measures
Károly Simon, Lajos Vágó
In this note we present some one-parameter families of homogeneous self-similar measures on the line such that - the similarity dimension is greater than for all parameters and…
Projections of Fractal percolation constructed with inhomogeneous probabilities
Károly Simon, Lajos Vágó
In this paper we consider fractal percolation random Cantor sets on the plane constructed with non-homogeneous probabilities. We focus on the case when the probabilities are la…
Projections of Mandelbrot percolation in higher dimensions
Károly Simon, Lajos Vágó
We consider fractal percolation (or Mandelbrot percolation) which is one of the most well studied example of random Cantor sets. Rams and the first author studied the projections (…