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math.DS2018
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…
math.DS2017★ 2 cited
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…