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 θ ∈ [0, 1].
| Original language | English |
|---|---|
| Pages (from-to) | 375-388 |
| Number of pages | 14 |
| Journal | Real Analysis Exchange |
| Volume | 37 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2012 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2012 Michigan State University Press. All rights reserved.
Keywords
- Hausdorff dimension
- multifractal analysis
- multiple Birkhoff average