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A generalized ensemble of random matrices

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arxiv cond-mat/9403085 v1 pith:3RE33STE submitted 1994-03-28 cond-mat hep-thnlin.SIsolv-int

A generalized ensemble of random matrices

classification cond-mat hep-thnlin.SIsolv-int
keywords ensemblerandomconfineddimensionalequivalentfermionsfinitegeneralized
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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A random matrix ensemble incorporating both GUE and Poisson level statistics while respecting $U(N)$ invariance is proposed and shown to be equivalent to a system of noninteracting, confined, one dimensional fermions at finite temperature.

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    quant-ph 2025-12 conditional novelty 6.0

    Strong level repulsion produces damped crystalline oscillations of the spectral form factor, with a Debye-Waller suppression, a new plateau time scale t* ≈ t_H sqrt(β/4), and predictable derivative singularities.