### Abstract

We prove exponential decay of correlations for (f, μ), where f belongs in a positive measure set of quadratic maps of the interval and μ is its absolutely continuous invariant measure. These results generalize to other interval maps.

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

Pages (from-to) | 123-138 |

Number of pages | 16 |

Journal | Communications in Mathematical Physics |

Volume | 146 |

Issue number | 1 |

DOIs | |

State | Published - May 1992 |

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### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Physics and Astronomy(all)
- Mathematical Physics

### Cite this

**Decay of correlations for certain quadratic maps.** / Young, L. S.

Research output: Contribution to journal › Article

*Communications in Mathematical Physics*, vol. 146, no. 1, pp. 123-138. https://doi.org/10.1007/BF02099211

}

TY - JOUR

T1 - Decay of correlations for certain quadratic maps

AU - Young, L. S.

PY - 1992/5

Y1 - 1992/5

N2 - We prove exponential decay of correlations for (f, μ), where f belongs in a positive measure set of quadratic maps of the interval and μ is its absolutely continuous invariant measure. These results generalize to other interval maps.

AB - We prove exponential decay of correlations for (f, μ), where f belongs in a positive measure set of quadratic maps of the interval and μ is its absolutely continuous invariant measure. These results generalize to other interval maps.

UR - http://www.scopus.com/inward/record.url?scp=0001470078&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001470078&partnerID=8YFLogxK

U2 - 10.1007/BF02099211

DO - 10.1007/BF02099211

M3 - Article

AN - SCOPUS:0001470078

VL - 146

SP - 123

EP - 138

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 1

ER -