Projections of random covering sets
classification
🧮 math.CA
math.DSmath.PR
keywords
randomsetscoveringprojectionsdimensionorthogonalalmostball-like
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We show that, almost surely, the Hausdorff dimension $s_0$ of a random covering set is preserved under all orthogonal projections to linear subspaces with dimension $k>s_0$. The result holds for random covering sets with a generating sequence of ball-like sets, and is obtained by investigating orthogonal projections of a class of random Cantor sets.
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