  We consider invertible discrete-time dynamical systems having a hyperbolic
product structure in some region of the phase space with infinitely many
branches and variable recurrence time. We show that the decay of correlations
of the SRB measure associated to that hyperbolic structure is related to the
tail of the recurrence times. We also give sufficient conditions for the
validity of the Central Limit Theorem. This generalizes previous results by
Benedicks and Young.
