On the packing measure of self-similar sets
Dynamical Systems
2013-10-07 v2
Abstract
Building on a recent result of M. Hochman, we give an example of a linear self-similar set K such that 0 < dim K = s < 1 and P^s(K) = 0. This answers a question of Y. Peres and B. Solomyak.
Keywords
Cite
@article{arxiv.1212.4813,
title = {On the packing measure of self-similar sets},
author = {Tuomas Orponen},
journal= {arXiv preprint arXiv:1212.4813},
year = {2013}
}
Comments
7 pages. v2: extended introduction and added references, to appear in Nonlinearity