A Central Limit Theorem for a \B-free dynamical system
A Central Limit Theorem for a \B-free dynamical system
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Maria Avdeeva , Queen's University
For a set B⊂N∖{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