01-10 Xavier Bressaud, Roland Zweimuller

Non exponential law of entrance times in asymptotically rare events for intermittent maps with infinite invariant measure (225K, Postscript) Jan 9, 01

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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.

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