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arXiv · 1212.4813

On the packing measure of self-similar sets

Tuomas Orponen
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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.

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Tuomas Orponen. 2013-09-16. On the packing measure of self-similar sets. https://doi.org/10.1088/0951-7715%2F26%2F11%2F2929

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