Dispersion properties of ergodic translations
We consider irrational rotations of the circle Tx=x+α (mod 1) and study the asymptotic behavior of sums of the type Sn=∑k=0n−1πk with πk=±1, the sign being determined by the location of Tkx with respect to a binary partition.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/20568 |