The symplectic geometry of closed equilateral random walks in 3-space

DOI10.1214/15-AAP1100zbMath1408.53109arXiv1310.5924OpenAlexW3104844908MaRDI QIDQ259598

Jason Cantarella, Clayton Shonkwiler

Publication date: 11 March 2016

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.5924

zbMATH Keywords

closed random walkcrankshaft algorithmDuistermaat-Heckman theoremrandom knotrandom polygonstatistics on Riemannian manifolds

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Symplectic structures of moduli spaces (53D30)

Related Items (14)

New Stick Number Bounds from Random Sampling of Confined Polygons ⋮ Random cyclic dynamical systems ⋮ Models of random knots ⋮ Toric symplectic geometry and full spark frames ⋮ Knots with exactly 10 sticks ⋮ An ergodic algorithm for generating knots with a prescribed injectivity radius ⋮ Total curvature and total torsion of knotted random polygons in confinement ⋮ Relative Frequencies of Alternating and Nonalternating Prime Knots and Composite Knots in Random Knot Spaces ⋮ Symplectic geometry and connectivity of spaces of frames ⋮ Knotting probability of equilateral hexagons ⋮ Open and closed random walks with fixed edgelengths in $ \newcommand{\m}{\mathcal} \newcommand{\R}{\mathbb{R}} \R^d$ ⋮ Random Triangles and Polygons in the Plane ⋮ Knotting spectrum of polygonal knots in extreme confinement ⋮ Knot probabilities in equilateral random polygons

Uses Software

• polymake
• DLMF

Cites Work

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