Autor(es)

Christoph Aistleitner and Verónica Becher and Adrian-Maria Scheerer and Theodore Slaman

URL Pública

Abstract

We give a construction of an absolutely normal real number such that for every integer greater than or equal to , the discrepancy of the first terms of the sequence is of asymptotic order . This is below the order of discrepancy which holds for almost all real numbers. Even the existence of absolutely normal numbers having a discrepancy of such a small asymptotic order was not known before.