• Corpus ID: 237503038

On the Spectral Form Factor for Random Matrices

  title={On the Spectral Form Factor for Random Matrices},
  author={Giorgio Cipolloni and L'aszl'o ErdHos and Dominik Schroder},
In the physics literature the spectral form factor (SFF), the squared Fourier transform of the empirical eigenvalue density, is the most common tool to test universality for disordered quantum systems, yet previous mathematical results have been restricted only to two exactly solvable models [13, 14]. We rigorously prove the physics prediction on SFF up to an intermediate time scale for a large class of random matrices using a robust method, the multiresolvent local laws. Beyond Wigner matrices… 

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