Statistics of Ambiguous Rotations

Event Date:
2021-08-05T16:00:00
2021-08-05T17:00:00
Event Location:
Connect via zoom
Speaker:
Richard Arnold (Victoria University of Wellington)
Related Upcoming Events:
Intended Audience:
Undergraduate
Local Contact:

Douglas Scott

Event Information:

If an object is symmetric, then there are numerous equivalent ways to describe its orientation in space.  For example, the lattice of a crystal with cubic symmetry can be mapped onto itself by 24 rotations.   The statistics of the orientations of such objects, even exercises as simple as finding the average orientation, are made complicated by these symmetries.

Using examples from seismology and materials science, Richard Arnold will discuss the range of problems that arise when working with such ambiguous orientations.  He will present new families of probability distributions and statistical tests associated with these objects.

Bio: https://people.wgtn.ac.nz/Richard.Arnold

Add to Calendar 2021-08-05T16:00:00 2021-08-05T17:00:00 Statistics of Ambiguous Rotations Event Information: If an object is symmetric, then there are numerous equivalent ways to describe its orientation in space.  For example, the lattice of a crystal with cubic symmetry can be mapped onto itself by 24 rotations.   The statistics of the orientations of such objects, even exercises as simple as finding the average orientation, are made complicated by these symmetries. Using examples from seismology and materials science, Richard Arnold will discuss the range of problems that arise when working with such ambiguous orientations.  He will present new families of probability distributions and statistical tests associated with these objects. Bio: https://people.wgtn.ac.nz/Richard.Arnold Event Location: Connect via zoom