Non exponential law of entrance times in asymptotically rare events for intermittent maps with infinite invariant measure

We study piecewise affine maps of the interval with an indifferent fixed po int causing the absolutely continuous invariant measure to be infinite. Con sidering the laws of the first entrance times of a point picked at random a ccording to Lebesgue measure - into a sequence of events shrinking to the s trongly repelling fixed point, we prove that (when suitably normalized) the y converge in distribution to the independent product of all exponential la w to some power and a one-sided stable law.