Correlation decay for an intermittent area-preserving map

We consider an area-preserving map which is almost everywhere hyperbolic, with a single marginal fixed point. Correlation decay is studied both by direct simulation of autocorrelations of smooth observables and by recurrence statistics on longer time scales. While on the time scale on which correlations are observed directly results are consistent with exponential relaxation, a transition to power-law is observed in the "sticking" times statistics. (C) 1998 Published by Elsevier Science B.V.