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Random Matrix Spectra from Boltzmann-Weighted Lattice Ensembles
data-analysisdisordered-systems-and-neural-networksmathematical-physicsstatistical-mechanicsstatistics-and-probability
We introduce a random matrix framework for studying statistical-mechanical lattice systems through spectral observables. Equilibrium configurations sampled from a Boltzmann measure are mapped to matrix ensembles whose covariance structure is inherited from the spatial correlations of the underlying
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