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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Non-reciprocity stabilizes the homogeneous mixed state in multicomponent systems with compositional disorder, yielding a random matrix theory condition for the onset of spinodal instability that is verified in simulations.
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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.
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Compositional disorder in a multicomponent non-reciprocal mixture: stability and patterns
Non-reciprocity stabilizes the homogeneous mixed state in multicomponent systems with compositional disorder, yielding a random matrix theory condition for the onset of spinodal instability that is verified in simulations.