JournalsjfgVol. 1, No. 4pp. 449–467

Projections of random covering sets

  • Changhao Chen

    University of Oulu, Finland

  • Henna Koivusalo

    University of York, UK

  • Bing Li

    University of Oulu, Finland

  • Ville Suomala

    University of Oulu, Finland
Projections of random covering sets cover
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Abstract

We show that, almost surely, the Hausdor dimension s0 of a random covering set is preserved under all orthogonal projections to linear subspaces with dimension . 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.

Cite this article

Changhao Chen, Henna Koivusalo, Bing Li, Ville Suomala, Projections of random covering sets. J. Fractal Geom. 1 (2014), no. 4, pp. 449–467

DOI 10.4171/JFG/14