Corpus ID: 86631784

Stiefel manifolds and polygons.

  title={Stiefel manifolds and polygons.},
  author={C. Shonkwiler},
  journal={arXiv: History and Overview},
  • C. Shonkwiler
  • Published 2019
  • Computer Science, Mathematics
  • arXiv: History and Overview
Polygons are compound geometric objects, but when trying to understand the expected behavior of a large collection of random polygons -- or even to formalize what a random polygon is -- it is convenient to interpret each polygon as a point in some parameter space, essentially trading the complexity of the object for the complexity of the space. In this paper I describe such an interpretation where the parameter space is a Stiefel manifold and show how to exploit the geometry of the Stiefel… Expand

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