▽Andre Nies’ Home Page ●08/06 11:51 The last two chapters of this survey paper contain results up to 2007: Describing Groups. Bull. Symb. Logic. 13 no 3 (2007), 305-339For an overview of work up to 2010 see Interactions of Computability and Randomness, Proc. International Congress of Mathematicians, 2010. Later work includes Coherent randomness tests and computing the K-trivial sets, with L. Bienvenu, N. Greenberg, A. Kucera