**abstract:**
We discuss the shrinking target property of irrational rotations. Suppose that $varphi(n)$ is a monotone increasing
function such that $sum_{n} 1*(nvarphi(n))$ diverges. We obtain the condition of an irrational $theta$ and monotone
increasing $varphi(n)$ such that $$ liminf _{{n} to infty} n varphi (n) ntheta - s = 0 text{ for almost
every } s. $$ We also consider the class of irrationals for which the limit inferior is 0 for every monotone
increasing $varphi(n)$ such that $sum_{n} 1*(nvarphi(n))$ diverges.

Tue 4 Feb, 11:00 - 12:00, Sala Conferenze Centro De Giorgi

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