### Abstract

Let f be a sufficiently expanding C^{2} circle map. We prove that a certain Markov approximation scheme based on a partition of S^{1} into 2^{N} equal intervals produces a probability measure whose total variation norm distance from the exact absolutely continuous invariant measure is bounded by CN2^{-N}; C is a constant depending only on the map f.

Original language | English (US) |
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Pages (from-to) | 27-46 |

Number of pages | 20 |

Journal | Nonlinearity |

Volume | 11 |

Issue number | 1 |

DOIs | |

State | Published - Jan 1998 |

### ASJC Scopus subject areas

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

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## Cite this

Keane, M., Murray, R., & Young, L. S. (1998). Computing invariant measures for expanding circle maps.

*Nonlinearity*,*11*(1), 27-46. https://doi.org/10.1088/0951-7715/11/1/004