## Hokkaido Mathematical Journal

### Decay of correlations for some partially hyperbolic diffeomorphisms

Jin HATOMOTO

#### 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.

#### Article information

Source
Hokkaido Math. J. Volume 38, Number 1 (2009), 39-65.

Dates
First available in Project Euclid: 28 July 2009

https://projecteuclid.org/euclid.hokmj/1248787011

Digital Object Identifier
doi:10.14492/hokmj/1248787011

Mathematical Reviews number (MathSciNet)
MR2501893

Zentralblatt MATH identifier
1177.37016

#### Citation

HATOMOTO, Jin. Decay of correlations for some partially hyperbolic diffeomorphisms. Hokkaido Math. J. 38 (2009), no. 1, 39--65. doi:10.14492/hokmj/1248787011. https://projecteuclid.org/euclid.hokmj/1248787011.