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Multilevel limits of spiked random matrix minors

math.PR · 2026-08-02 · conditional · novelty 7.0

For every β>0, the rescaled largest eigenvalues of the minors of a critically spiked Gaussian random matrix converge to a multilevel interlacing particle system built from the Airy-β point process.

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  • Multilevel limits of spiked random matrix minors math.PR · 2026-08-02 · conditional · none · ref 9

    For every β>0, the rescaled largest eigenvalues of the minors of a critically spiked Gaussian random matrix converge to a multilevel interlacing particle system built from the Airy-β point process.