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|Title:||Some Properties of Uniformly Distributed Sequences|
|Source:||Sun, Y.N. (1993-07). Some Properties of Uniformly Distributed Sequences. Journal of Number Theory 44 (3) : 273-280. ScholarBank@NUS Repository. https://doi.org/10.1006/jnth.1993.1053|
|Abstract:||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 mod 1 is the image of some other u.d. sequence mod 1 induced by T. As a consequence, we obtain that every ud. sequence mod 1 can be decomposed into finitely many sequences with given asymptotic densities and asymptotic distribution functions. © 1993 Academic Press. All rights reserved.|
|Source Title:||Journal of Number Theory|
|Appears in Collections:||Staff Publications|
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