Verónica Becher, Theodore A. Slaman
Published 2013-11-02Version 1
We prove independence of normality to different bases We show that the set of real numbers that are normal to some base is Sigma^0_4 complete in the Borel hierarchy of subsets of real numbers. This was an open problem, initiated by Alexander Kechris, and conjectured by Ditzen 20 years ago.
Nega-$\tilde Q$-representation of real numbers
On the pair correlations of powers of real numbers
Approximation orders of real numbers by $β$-expansions
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