Multifractal Analysis of Some Multiple Ergodic Averages for the Systems with Non-constant Lyapunov Exponents

Lingmin Liao, Michał Rams
2014 Real Analysis Exchange  
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} 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.
doi:10.14321/realanalexch.39.1.0001 fatcat:sqf6vovkyfbwbcpxwlahhblwza