### Abstract

Hénon maps for which the analysis in [BC2] applies are considered. Sets with good hyperbolic properties and nice return structures are constructed and their return time functions are shown to have exponentially decaying tails. This sets the stage for applying the results in [Y]. Statistical properties such as exponential decay of correlations and central limit theorem are proved.

Original language | English (US) |
---|---|

Pages (from-to) | 13-56 |

Number of pages | 44 |

Journal | Asterisque |

Volume | 261 |

State | Published - 2000 |

### Fingerprint

### Keywords

- Central Limit Theorem
- Decay of correlation
- Hénon map
- Markov extension

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Asterisque*,

*261*, 13-56.

**Markov extensions and decay of correlations for certain Hénon maps.** / Benedicks, Michael; Young, Lai Sang.

Research output: Contribution to journal › Article

*Asterisque*, vol. 261, pp. 13-56.

}

TY - JOUR

T1 - Markov extensions and decay of correlations for certain Hénon maps

AU - Benedicks, Michael

AU - Young, Lai Sang

PY - 2000

Y1 - 2000

N2 - Hénon maps for which the analysis in [BC2] applies are considered. Sets with good hyperbolic properties and nice return structures are constructed and their return time functions are shown to have exponentially decaying tails. This sets the stage for applying the results in [Y]. Statistical properties such as exponential decay of correlations and central limit theorem are proved.

AB - Hénon maps for which the analysis in [BC2] applies are considered. Sets with good hyperbolic properties and nice return structures are constructed and their return time functions are shown to have exponentially decaying tails. This sets the stage for applying the results in [Y]. Statistical properties such as exponential decay of correlations and central limit theorem are proved.

KW - Central Limit Theorem

KW - Decay of correlation

KW - Hénon map

KW - Markov extension

UR - http://www.scopus.com/inward/record.url?scp=0040801873&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0040801873&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0040801873

VL - 261

SP - 13

EP - 56

JO - Asterisque

JF - Asterisque

SN - 0303-1179

ER -