Projections of random covering sets
Changhao Chen
University of Oulu, FinlandHenna Koivusalo
University of York, UKBing Li
University of Oulu, FinlandVille Suomala
University of Oulu, Finland
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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