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arxiv: 1212.4813 · v2 · pith:5RP2CVE2new · submitted 2012-12-19 · 🧮 math.DS

On the packing measure of self-similar sets

classification 🧮 math.DS
keywords self-similaranswersbuildingexamplegivehochmanlinearmeasure
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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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