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 \(k, 2k\).
Citation
Lingmin Liao. Michał Rams. "Multifractal Analysis of Some Multiple Ergodic Averages for the Systems with Non-constant Lyapunov Exponents." Real Anal. Exchange 39 (1) 1 - 14, 2013/2014.
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