BBP transitions become discontinuous when eigenvalue density vanishes faster than linearly at the edge, producing a jump in eigenvector overlap and an extended pre-critical regime with informative eigenvectors in deformed Gaussian and reweighted Wishart ensembles.
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Discontinuous BBP transitions
BBP transitions become discontinuous when eigenvalue density vanishes faster than linearly at the edge, producing a jump in eigenvector overlap and an extended pre-critical regime with informative eigenvectors in deformed Gaussian and reweighted Wishart ensembles.