%0 Journal Article %T Entry time statistics to different shrinking sets %A Italo Cipriano %J Mathematics %D 2015 %I arXiv %X We consider $\psi$-mixing dynamical systems $(\mathcal{X},T,B,\mu)$ and we find conditions on families of sets $\{\mathcal{U}_n\subset \mathcal{X}:n\in\mathbb{N}\}$ so that $\mu(\mathcal{U}_n)\tau_n$ tends in law to an exponential random variable, where $\tau_n$ is the entry time to $\mathcal{U}_n.$ %U http://arxiv.org/abs/1510.07885v1