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• W2950619781 abstract "This paper studies the delocalized regime of an ultrametric random operator whose independent entries have variances decaying in a suitable hierarchical metric on $mathbb{N}$. When the decay-rate of the off-diagonal variances is sufficiently slow, we prove that the spectral measures are uniformly $theta$-H{o}lder continuous for all $theta in (0,1)$. In finite volumes, we prove that the corresponding ultrametric random matrices have completely extended eigenfunctions and that the local eigenvalue statistics converge in the Wigner-Dyson-Mehta universality class." @default.
• W2950619781 created "2019-06-27" @default.
• W2950619781 creator A5068337244 @default.
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• W2950619781 date "2019-05-15" @default.
• W2950619781 modified "2023-10-07" @default.
• W2950619781 title "Delocalization and Continuous Spectrum for Ultrametric Random Operators" @default.
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• W2950619781 doi "https://doi.org/10.1007/s00023-019-00809-z" @default.
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