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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.DS2018
Dimension of the repeller for a piecewise expanding affine map
Balázs Bárány, Michał Rams, Károly Simon
In this paper, we study the dimension theory of a class of piecewise affine systems in euclidean spaces suggested by Michael Barnsley, with some applications to the fractal image c…