On the packing measure of self-similar sets
arXiv:1212.4813 · doi:10.1088/0951-7715/26/11/2929
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.
7 pages. v2: extended introduction and added references, to appear in Nonlinearity