Resolvents of the sample covariances in the separable mixture model approximate deterministic matrices defined via solutions to a dual system of equations, without simultaneous diagonalizability assumptions.
Marchenko and Leonid A
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Spectral condensation of eigen-microstate occupations, quantified by emergent-sector entropy, diagnoses finite nonequilibrium transitions such as polar-vortex breakdown in ERA5 data and a wave-mean-flow model.
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