Critical angles in random polyhedral cones

Daniel Gourion (1) , Alberto Seeger (1)

1 LMA - EA2151 Laboratoire de Mathématiques d'Avignon

This work concerns the angular structure of random polyhedral cones generated by p stochastically independent vectors uniformly distributed on the unit sphere of R n. We comment on the expected number of critical angles and the mathematical expectation of the extremal angles.

Domaines: Mathématiques [math]

Daniel Gourion, Alberto Seeger. Critical angles in random polyhedral cones. Journal of Mathematical Analysis and Applications, 2011, ⟨10.1016/j.jmaa.2010.08.034⟩. ⟨hal-01325918⟩