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Probabilistic Analysis of the Random Spectral Radius for a Matrix Family

math.DS · 2025-11-20 · unverdicted · novelty 6.0

For families of matrices, the random spectral radius of random products obeys a law of large numbers with explicit limiting value and a central limit theorem, with a non-Gaussian max-of-correlated-Gaussians limit when leading eigenvalues coalesce.

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  • Probabilistic Analysis of the Random Spectral Radius for a Matrix Family math.DS · 2025-11-20 · unverdicted · none · ref 1

    For families of matrices, the random spectral radius of random products obeys a law of large numbers with explicit limiting value and a central limit theorem, with a non-Gaussian max-of-correlated-Gaussians limit when leading eigenvalues coalesce.