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Journal | Electronic Journal of Probability |
---|---|

Date | Submitted - 22 Oct 2015 |

Date | Accepted/In press - 17 May 2016 |

Date | E-pub ahead of print - 5 Jan 2017 |

Date | Published (current) - 5 Jan 2017 |

Volume | 22 |

Number of pages | 18 |

Pages (from-to) | 1-18 |

Early online date | 5/01/17 |

Original language | English |

We provide sharp lower and upper bounds for the Hausdorff dimension of the intersection of a typical random covering set with a fixed analytic set both in Ahlfors regular metric spaces and in the $d$-dimensional torus. In metric spaces, we consider covering sets generated by balls and, in the torus, we deal with general analytic generating sets.

© 2017, The Author(s).

- math.PR, math.CA, math.DS

## Gaps theorems and statistics of patterns in quasicrystals

Project: Research

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