We consider irrational rotations of the circle Tx = x +α (mod 1) and study the asymptotic behavior of sums of the type S_n =\sum_{k=0}^{n−1} π_k with π_k =±1, the sign being determined by the location of Tkx with respect to a binary partition.
Dispersion properties of ergodic translations
ISOLA, Stefano
2006-01-01
Abstract
We consider irrational rotations of the circle Tx = x +α (mod 1) and study the asymptotic behavior of sums of the type S_n =\sum_{k=0}^{n−1} π_k with π_k =±1, the sign being determined by the location of Tkx with respect to a binary partition.File in questo prodotto:
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