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math.FA2026
Positive Planar Measures for Spectral Pinching and the Corrected BMV Conjecture
Trung Hoa Dinh, Cong Trinh Le, Trung Dung Vuong
We prove the corrected Bessis--Moussa--Villani pinching conjecture for all symmetrized word averages. For Hermitian matrices and , we construct a positive compactly…
math.FA2026
A Weighted Spectral Quantum Fidelity
Cong Trinh Le, The Khoi Vu, Minh Toan Ho +1
We introduce and study a one-parameter family of fidelity-type quantities based on the weighted spectral geometric mean, which we call the \emph{weighted spectral fidelity} \( \mat…