Uniformly distributed sequences in the orthogonal group and on the Grassmannian manifold

Florian Pausinger

Mathematics and Computers in Simulation (MATCOM), 2019, vol. 160, issue C, 13-22

Abstract: We construct and implement a uniformly distributed sequence in the orthogonal group O(n). From this sequence we obtain a uniformly distributed sequence on the Grassmannian manifold G(n,k), which we use to approximate integral-geometric formulas. We show that our algorithm compares well with classical random constructions which motivates various directions for future research.

Keywords: Uniform distribution; Compact topological group; Orthogonal group; Grassmannian manifold; Crofton formula (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:160:y:2019:i:c:p:13-22

DOI: 10.1016/j.matcom.2018.11.022

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