Dimension spectrum for a nonconventional ergodic average
Dynamical Systems
2018-02-08 v2
Abstract
We compute the dimension spectrum of certain nonconventional averages, namely, the Hausdorff dimension of the set of sequences, for which the frequency of the pattern 11 in positions equals a given number .
Keywords
Cite
@article{arxiv.1107.1749,
title = {Dimension spectrum for a nonconventional ergodic average},
author = {Yuval Peres and Boris Solomyak},
journal= {arXiv preprint arXiv:1107.1749},
year = {2018}
}
Comments
11 pages, 1 figure; revision after the referee report (some proofs are shorter), to appear in Real Analysis Exchange