Dimensions of sums with self-similar sets
Volume 147 / 2017
Colloquium Mathematicum 147 (2017), 43-54
MSC: 28A78, 28A75.
DOI: 10.4064/cm6683-6-2016
Published online: 2 December 2016
Abstract
For some self-similar sets $K\subset {\mathbb {R}}^d$ we obtain certain lower bounds for the lower Minkowski dimension of $K+E$ in terms of the lower Minkowski dimension of $E$.
