The spectral fingerprint conjecture for random sign matrices
A matrix is determined by its spectrum if no other matrix, apart from trivial permutations, has the same spectrum.
Spectral fingerprint conjecture. Almost all matrices are determined by their spectrum.
The conjecture proposes that cospectral coincidences are negligible among random sign matrices; the source gives no resolution.
References
Primary source
Van Vu, “Recent progress in combinatorial random matrix theory”, arXiv:2005.02797 (2020).
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