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For polyhedral convex cones in $${\mathbb{R}^d}$$Rd, we give a proof for the conic kinematic formula for conic curvature measures, which avoids the use of characterization theorems. For the random cones… Click to show full abstract
For polyhedral convex cones in $${\mathbb{R}^d}$$Rd, we give a proof for the conic kinematic formula for conic curvature measures, which avoids the use of characterization theorems. For the random cones defined as typical cones of an isotropic random central hyperplane arrangement, we find probabilities for non-trivial intersection, either with a fixed cone, or for two independent random cones of this type.
Keywords:
intersection;
formulas polyhedral;
intersection probabilities;
polyhedral cones;
kinematic formulas;
probabilities kinematic
Journal Title: Acta Mathematica Hungarica
Year Published: 2017
Link to full text (if available)
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Journal Title: Acta Mathematica Hungarica
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!