On random fractals with infinite branching: definition, measurability, dimensions
Probability
2014-03-26 v5
Abstract
We discuss the definition and measurability questions of random fractals and find under certain conditions a formula for upper and lower Minkowski dimensions. For the case of a random self-similar set we obtain the packing dimension.
Keywords
Cite
@article{arxiv.1007.2177,
title = {On random fractals with infinite branching: definition, measurability, dimensions},
author = {Artemi Berlinkov},
journal= {arXiv preprint arXiv:1007.2177},
year = {2014}
}
Comments
11 pages