Power spectra and autocovariances of level spacings beyond the Dyson conjecture

Roman Riser, Peng Tian, Eugene Kanzieper

Introduced in the early days of random matrix theory, the autocovariances $\delta I_k^j=\mathrm{cov}(s_j,s_{j+k})$ of level spacings $\{s_j\}$ accommodate a detailed information on correla…