## CEMAPRE Seminar

### Dynamical Borel-Cantelli lemma for non-uniformly hyperbolic systems

Nuno Luzia
(Universidade Federal do Rio de Janeiro)

Abstract: We show the dynamical Borel-Cantelli lemma, also known in literature as the 'quantitative shrinking target problem', for dynamical systems with fast decay of correlation with respect to Lipschitz observables, extending a recent result of Haydn et al. This implies quantitative recurrence results for these kind of systems.

Wednesday, January 18, 2012
Time: 15h00
Room: Sala IAPMEI, Edificio Quelhas, ISEG
http://cemapre.iseg.ulisboa.pt/seminars/cemapre/