A Central Limit Theorem for a \B-free dynamical system

-
Maria Avdeeva , Queen's University

For a set BN{1}, let B-free integers be the set of integers that are not divisible by any element of B and let XB{0,1}Z be the closure of the orbit of the indicator of B--free integers under the left shift T.  One can equip (XB,T) with the T--invariant measure which produces the correlations of B-free integers. For an infinite, coprime B with $\sum_{b \in \mathcal{B}} 1/b