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

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 $k,2k$.

13 pages

References in corpus (1)

• Level sets of multiple ergodic averages

Cited by in corpus (1)

• Multifractal analysis of some multiple ergodic averages