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 \(\theta\in [0,1]\).
Citation
Yuval Peres. Boris Solomyak. "Dimension Spectrum for a Nonconventional Ergodic Average." Real Anal. Exchange 37 (2) 375 - 388, 2011/2012.
Information