@article{Järvenpää_Järvenpää_Käenmäki_Suomala_2005, title={Asymptotically sharp dimension estimates for $k$-porous sets}, volume={97}, url={https://www.mscand.dk/article/view/14978}, DOI={10.7146/math.scand.a-14978}, abstractNote={In ${\mathsf R}^n$, we establish an asymptotically sharp upper bound for the upper Minkowski dimension of $k$-porous sets having holes of certain size near every point in $k$ orthogonal directions at all small scales. This bound tends to $n-k$ as $k$-porosity tends to its maximum value.}, number={2}, journal={MATHEMATICA SCANDINAVICA}, author={Järvenpää, E. and Järvenpää, M. and Käenmäki, A. and Suomala, V.}, year={2005}, month={Dec.}, pages={309–318} }