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 |
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doaj-8d52a9eee7654a5d8dd9d0ce703790062020-11-24T20:57:01ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/2056820568Dispersion properties of ergodic translationsStefano Isola0Dipartimento di Matematica e Informatica, Università di Camerino, via Madonna delle Carceri, Camerino 62032, ItalyWe 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.http://dx.doi.org/10.1155/IJMMS/2006/20568 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Stefano Isola |
| spellingShingle |
Stefano Isola Dispersion properties of ergodic translations International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Stefano Isola |
| author_sort |
Stefano Isola |
| title |
Dispersion properties of ergodic translations |
| title_short |
Dispersion properties of ergodic translations |
| title_full |
Dispersion properties of ergodic translations |
| title_fullStr |
Dispersion properties of ergodic translations |
| title_full_unstemmed |
Dispersion properties of ergodic translations |
| title_sort |
dispersion properties of ergodic translations |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2006-01-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1155/IJMMS/2006/20568 |
| work_keys_str_mv |
AT stefanoisola dispersionpropertiesofergodictranslations |
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1716789029429575680 |