## Abstract

We study tangent sets of strictly self-affine sets in the plane. If a set in this class satisfies the strong separation condition and projects to a line segment for sufficiently many directions, then for each generic point there exists a rotation O such that all tangent sets at that point are either of the form O((R × C) ∩ B(0, 1)), where C is a closed porous

set, or of the form O((` × {0}) ∩ B(0, 1)), where ` is an interval.

set, or of the form O((` × {0}) ∩ B(0, 1)), where ` is an interval.

Original language | English |
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Pages (from-to) | 1915–1934 |

Number of pages | 20 |

Journal | Ergodic Theory Dynamical Systems |

Volume | 37 |

Issue number | 6 |

Early online date | 28 Jan 2016 |

DOIs | |

Publication status | Published - 1 Sep 2017 |

## Keywords

- Tangent set
- self-affine set
- iterated function system