We show that if a transformation \(T\) on the unit interval is surjective, piecewise continuously differentiable, and uniform distribution preserving, then every u.d. sequence \(\bmod 1\) is the image of some other u.d. sequence \(\bmod 1\) induced by \(T\). As a consequence, we obtain that every u.
On Uniformly Distributed Dilates of Finite Integer Sequences
โ Scribed by S.V Konyagin; I.Z Ruzsa; W Schlag
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 187 KB
- Volume
- 82
- Category
- Article
- ISSN
- 0022-314X
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