Random equal-norm frames concentrate near Parseval frames and vice versa with high probability via Riemannian manifold concentration, giving a probabilistic upper bound on the Paulsen problem.
Symplectic geometry and connectivity of spaces of frames.Advances in Computational Mathematics, 47(1):5
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Geometric Perspective on Concentration Phenomena in Frame Theory
Random equal-norm frames concentrate near Parseval frames and vice versa with high probability via Riemannian manifold concentration, giving a probabilistic upper bound on the Paulsen problem.