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arXiv · 1206.1397

Multifractal analysis of some multiple ergodic averages for the systems with non-constant Lyapunov exponents

Lingmin Liao·Michal Rams
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Abstract

We study certain multiple ergodic averages of an iterated functions system generated by two contractions on the unit interval. By using the dynamical coding ${0,1}^{\mathbb{N}}$ of the attractor, we compute the Hausdorff dimension of the set of points with a given frequency of the pattern 11 in positions $k, 2k$.

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Lingmin Liao, Michal Rams. 2012-06-21. Multifractal analysis of some multiple ergodic averages for the systems with non-constant Lyapunov exponents. https://arxiv.org/abs/1206.1397

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