For more information about this meeting, contact Jason Rute, Stephen Simpson, Jan Reimann.

Title: | Hausdorff dimension |

Seminar: | Logic Seminar |

Speaker: | Manfred Denker, Penn State |

Abstract: |

It is a difficult problem to calculate the Hausdorff dimension of a set. In general, this number is hard to compute with some given precision. For some sets, like the Cantor set, a formula for the dimension is known. In other cases, like the attractor of the Henon map computer calculations showed varying results. Box counting methods are a bit more reliable, but they may not calculate Hausdorff dimension, but the Minkowski dimension. Grassberger and Procaccia introduced a new type of dimension, called correlation dimension. Although it does not calculate the Hausdorff dimension in general, it is a notion which is estimable in the sense of regression analysis. I will review this method and the mathematical theory needed for such an approach. |

### Room Reservation Information

Room Number: | MB315 |

Date: | 10 / 14 / 2014 |

Time: | 02:30pm - 03:45pm |