Projections of random covering sets
Classical Analysis and ODEs
2015-05-11 v1 Dynamical Systems
Probability
Abstract
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 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
@article{arxiv.1311.1703,
title = {Projections of random covering sets},
author = {Changhao Chen and Henna Koivusalo and Bing Li and Ville Suomala},
journal= {arXiv preprint arXiv:1311.1703},
year = {2015}
}
Comments
17 pages