In this paper we study a $C^{1+\alpha}$-partially hyperbolic diffeomorphism f of which restriction on one dimensional center unstable direction behaves as Manneville-Pomeau map. We show that f admits a unique ergodic SRB measure with polynomial upper bounds on correlations for Hölder continuous functions.
Hokkaido Math. J.
38(1):
39-65
(February 2009).
DOI: 10.14492/hokmj/1248787011