Verónica Becher

A polynomial-time algorithm for computing absolutely normal numbers

2013, Information and Computation 232, 1--9, 2013
Citas: 46
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Autor(es)

Verónica Becher and Pablo Ariel Heiber and Theodore A Slaman

Abstract

We give an algorithm to compute an absolutely normal number so that the first n digits in its binary expansion are obtained in time polynomial in n; in fact, just above quadratic. The algorithm uses combinatorial tools to control divergence from normality. Speed of computation is achieved at the sacrifice of speed of convergence to normality.

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