Building on a recent result of Hochman (2012 arXiv:1212.1873), we give an example of a self-similar set K ? R such that dimH K = s ε (0, 1) and P~s (K) = 0. This answers a question posed by Peres and Solomyak.
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机译:基于Hochman(2012 arXiv:1212.1873)的最新结果,我们给出了一个自相似集K?的示例。 R使得dimH K = sε(0,1)并且P〜s(K)=0。这回答了Peres和Solomyak提出的问题。
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