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Spacing statistics of energy spectra: random matrices, black hole thermalization, and echoes

Spacing statistics of energy spectra: random matrices, black hole thermalization, and echoes

Recent advances in AdS/CFT holography have suggested that the near-horizon dynamics of black holes can be described by random matrix systems. We study how the energy spectrum of a system with a generic random Hamiltonian matrix affects its early and late time thermalization behaviour using the spectral form factor (which …