Probability Theory of Random Polygons from the Quaternionic Viewpoint

We build a new probability measure on closed space and plane polygons. The key construction is a map, given by Hausmann and Knutson, using the Hopf map on quaternions from the complex Stiefel manifold of 2‐frames in n‐space to the space of closed n‐gons in 3‐space of total length 2. Our probability...

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Veröffentlicht in:	Communications on pure and applied mathematics 2014-10, Vol.67 (10), p.1658-1699
Hauptverfasser:	Cantarella, Jason, Deguchi, Tetsuo, Shonkwiler, Clayton
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied mathematics Computational mathematics Polygons Probability
Online-Zugang:	Volltext
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