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arXiv · 1311.1703

Projections of random covering sets

Changhao Chen·Henna Koivusalo·Bing Li·Ville Suomala
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Abstract

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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BibTeXRIS

Changhao Chen, Henna Koivusalo, Bing Li, Ville Suomala. 2013-11-07. Projections of random covering sets. https://arxiv.org/abs/1311.1703

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