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Uniform distribution of sequences generated by iterated polynomials (2016)

Springer

In: Doklady Mathematics

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Publication Date: 2016-01-07

Description: Given a polynomial f with integer coefficients and deg f 〉 1, a set of points $$\left( {\frac{x} {{p^n }},\frac{{f(x)\bmod p^n }} {{p^n }}, \cdots ,\frac{{f^{(s - 1)} (x)\bmod p^n }} {{p^n }}} \right)$$ belonging to the s -dimensional unit hypercube is proved to have a uniform distribution as n → ∞. It is proved that this set also has a uniform distribution for a composition with an injective mapping defined by a synchronizing finite automaton.

Print ISSN: 1064-5624

Electronic ISSN: 1531-8362

Topics: Mathematics

Published by Springer

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