Xavier Bressaud, Roland Zweimuller
Non exponential law of entrance times in asymptotically rare events for
intermittent maps with infinite invariant measure
(225K, Postscript)
ABSTRACT. We study piecewise affine maps of the interval with an indifferent fixed
point causing the absolutely continuous invariant measure to be infinite.
Considering the laws of the first entrance times of a point --- picked at
random according to Lebesgue measure --- into a sequence of events shrinking
to the strongly repelling fixed point, we prove that (when suitably
normalized) they converge in distribution to the independent product of
an exponential law to some power and a one-sided stable law.