Expected distances on manifolds of partially oriented flags

DOI10.1090/proc/15521zbMath1467.53060arXiv2001.07854OpenAlexW3135349456MaRDI QIDQ4992937

Clayton Shonkwiler, Chris Peterson, Brenden Balch

Publication date: 10 June 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.07854

zbMATH Keywords

flag manifoldhomogeneous spaceexpected distance between random pointspartially oriented flag manifolds

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Differential geometry of homogeneous manifolds (53C30) Analytic geometry with other transformation groups (51N25)

Related Items (1)

Distance distributions and inverse problems for metric measure spaces

Cites Work

• Numerical mathematics and advanced applications -- ENUMATH 2013. Proceedings of ENUMATH 2013, the 10th European conference on numerical mathematics and advanced applications, Lausanne, Switzerland, August 26--30, 2013
• On the largest principal angle between random subspaces
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• Statistics on special manifolds
• A flag representation for finite collections of subspaces of mixed dimensions
• A Formula for the Tangent Bundle of Flag Manifolds and Related Manifolds
• Analysis of PSLQ, an integer relation finding algorithm
• The Geometry of Algorithms with Orthogonality Constraints
• Stable Parallelizability of Partially Oriented Flag Manifolds II
• Numerical Algorithms on the Affine Grassmannian
• Independent Component Analysis and Blind Signal Separation

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