Francesco Cellarosi, Queen's University
"Statistical properties of B-free numbers"
B-free numbers were introduced by Erdős as a generalization of squarefree integers. I will present some results about the statistical properties of B-free numbers and a dynamical systems naturally associated to them. In particular, I will discuss a central limit theorem resembling a result by J. Beck on irrational circle rotations. Joint work with M. Avdeeva and Ya.G. Sinai.