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                <term xml:lang="en">Young tower</term>
                <term xml:lang="en">polynomial rate</term>
                <term xml:lang="en">nonuniform hyperbolicity</term>
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                <term xml:lang="en">stadium</term>
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              <p>We consider some nonuniformly hyperbolic invertible dynamical systems which are modeled by a Gibbs-Markov-Young tower. We assume a polynomial tail for the inducing time and a polynomial control of hyperbolicity, as introduced by Alves, Pinheiro and Azevedo. These systems admit a physical measure with polynomial rate of mixing. In this paper we prove that the distribution of the number of visits to a ball B(x, r) converges to a Poisson distribution as the radius r → 0 and after suitable normalization.</p>
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