## Real Analysis Exchange

### Dimension Spectrum for a Nonconventional Ergodic Average

#### 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 $\theta\in [0,1]$.

#### Article information

Source
Real Anal. Exchange, Volume 37, Number 2 (2011), 375-388.

Dates
First available in Project Euclid: 15 April 2013

https://projecteuclid.org/euclid.rae/1366030632

Mathematical Reviews number (MathSciNet)
MR3080599

Zentralblatt MATH identifier
1287.37015

#### Citation

Peres, Yuval; Solomyak, Boris. Dimension Spectrum for a Nonconventional Ergodic Average. Real Anal. Exchange 37 (2011), no. 2, 375--388. https://projecteuclid.org/euclid.rae/1366030632

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