Abstract
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.
Citation
Jin HATOMOTO. "Decay of correlations for some partially hyperbolic diffeomorphisms." Hokkaido Math. J. 38 (1) 39 - 65, February 2009. https://doi.org/10.14492/hokmj/1248787011
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