%0 Journal Article %A Alain Thomas %T A non-uniform distribution property of most orbits, in case the $3x+1$ conjecture is true %J Acta Arithmetica %D 2017 %P 125-134 %V 178 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/aa8385-9-2016/ %R 10.4064/aa8385-9-2016 %G en %F 10_4064_aa8385_9_2016