Clock statistics for 1d Schrödinger operators

Abstract

We study the 1d Schrödinger operators with alloy type random supercritical decaying potential and prove the clock convergence for the local statistics of eigenvalues. We also consider, besides the standard i.i.d. case, more general ones with exponentially decaying correlations.

References in corpus (2)

• Bulk Universality and Clock Spacing of Zeros for Ergodic Jacobi Matrices with A.C. Spectrum
• Poisson statistics for 1d Schrödinger operators with random decaying potentials