Probability Theory of Random Polygons from the Quaternionic Viewpoint

DOI10.1002/cpa.21480zbMath1300.60026arXiv1206.3161OpenAlexW1966647070MaRDI QIDQ2922152

Jason Cantarella, Clayton Shonkwiler, Tetsuo Deguchi

Publication date: 9 October 2014

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.3161

zbMATH Keywords

quaternionsradius of gyrationStiefel manifoldsaveraging chord lenghtsclosed polygon spacesedge-length distributionspolygonal arm spacessampling random polygons

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (10)

Admissibility and frame homotopy for quaternionic frames ⋮ The knot spectrum of confined random equilateral polygons ⋮ Spherical geometry and the least symmetric triangle ⋮ Total curvature and total torsion of knotted random polygons in confinement ⋮ Statistical properties of multi-theta polymer chains ⋮ Relative Frequencies of Alternating and Nonalternating Prime Knots and Composite Knots in Random Knot Spaces ⋮ Random Triangles and Polygons in the Plane ⋮ Asymptotic laws for random knot diagrams ⋮ The symplectic geometry of closed equilateral random walks in 3-space ⋮ Knot probabilities in equilateral random polygons

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