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Some Properties of Uniformly Distributed Sequences

โœ Scribed by Y.N. Sun

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
258 KB
Volume
44
Category
Article
ISSN
0022-314X

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โœฆ Synopsis

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.d. sequence mod 1 can be decomposed into finitely many sequences with given asymptotic densities and asymptotic distribution functions. 1993 Academic Press, Inc

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