Random Conical Tessellations

@article{Hug2016RandomCT,
  title={Random Conical Tessellations},
  author={D. Hug and R. Schneider},
  journal={Discrete & Computational Geometry},
  year={2016},
  volume={56},
  pages={395-426}
}
  • D. Hug, R. Schneider
  • Published 2016
  • Mathematics, Computer Science
  • Discrete & Computational Geometry
  • We consider tessellations of the Euclidean $$(d-1)$$(d-1)-sphere by $$(d-2)$$(d-2)-dimensional great subspheres or, equivalently, tessellations of Euclidean d-space by hyperplanes through the origin; these we call conical tessellations. For random polyhedral cones defined as typical cones in a conical tessellation by random hyperplanes, and for random cones which are dual to these in distribution, we study expectations for a general class of geometric functionals. They include combinatorial… CONTINUE READING
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