Conical tessellations associated with Weyl chambers

2020/04/22 by Godland, Thomas, Kabluchko, Zakhar
#51F15 #60D05. Secondary: 52A55 #Combinatorics (math.CO) #FOS: Mathematics #Metric Geometry (math.MG) #Primary: 52A22 #Probability (math.PR)

paper · doi:10.48550/arxiv.2004.10466

Abstract

We consider d-dimensional random vectors Y₁,…,Y_n that satisfy a mild general position assumption a.s. The hyperplanes \beginalign* (Y_i-Y_j)^⊥ (1≤ i

Related

• Random conical tessellations
• Tessellations derived from random geometric graphs
• Random cones in high dimensions II: Weyl cones
• Convex hulls of random walks, hyperplane arrangements, and Weyl chambers
• Column tessellations