Ergodic Theory and Dynamical Systems

A probabilistic approach to intermittency

a1 Mathematics Department, University of Rome II, Tor Vergata, 00133 Rome, Italy (e-mail:
a2 Centre de Physique Théorique, CNR's, Luminy Case 907, 13288 Marseilles, France (e-mail: and PhyMat, University of Toulon, BP 132, 83957 La Garde Cedex, France (e-mail:


We present an original approach which allows us to investigate the statistical properties of a non-uniformly hyperbolic map on the interval. Based on a stochastic approximation of the deterministic map, this method essentially gives the optimal polynomial bound for the decay of correlations, the degree depending on the order of the tangency at the neutral fixed point.

(Received June 2 1997)
(Revised October 7 1997)