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Local law and delocalization for the Sachdev-Ye-Kitaev model
We establish a mesoscopic local law and quantitative eigenvector-delocalization estimates for the Sachdev--Ye--Kitaev model (SYK) Hamiltonian of $N$ interacting Majorana fermions. For even $q\ll N^{\frac{1}{2}}$, we prove that the normalized Stieltjes transform converges uniformly on bounded energy
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