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arXiv · 1107.1749

Dimension spectrum for a nonconventional ergodic average

Yuval Peres·Boris Solomyak
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Abstract

We compute the dimension spectrum of certain nonconventional averages, namely, the Hausdorff dimension of the set of $0,1$ sequences, for which the frequency of the pattern 11 in positions $k, 2k$ equals a given number $\theta\in [0,1]$.

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Yuval Peres, Boris Solomyak. 2011-07-08. Dimension spectrum for a nonconventional ergodic average. https://arxiv.org/abs/1107.1749

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