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math.CA2013
Projections of random covering sets
Changhao Chen, Henna Koivusalo, Bing Li +1
We show that, almost surely, the Hausdorff dimension of a random covering set is preserved under all orthogonal projections to linear subspaces with dimension . The re…
math.DS2013
Dimension of uniformly random self-similar fractals
Henna Koivusalo
We calculate the almost sure Hausdorff dimension of uniformly random self-similar fractals. These random fractals are generated from a finite family of similarities, where the line…