Dimension-Dependent Bounds for Symmetric Doubly Stochastic Matrices

Researchers derived a phase‑aligned bound δ_n^{(ph)} = 1 - 1/(2 cos^2(π/n)) for n ≡ 0 (mod 4), and proved the bound stays below ½ for every n ≥ 3, improving the classic limit. getnews.me/dimension-dependent-boun... #symmetrystochastic #matrixtheory