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math.PRJun 1, 2019
4
citations (OpenAlex)
authors
  • Per von Soosten
  • Simone Warzel
institutions
  • Harvard University
  • Munich Center for Quantum Science and Technology
  • Technical University of Munich
arXiv abstractPDF
paper

Random characteristics for Wigner matrices

arXiv:1906.10677 · doi:10.1214/19-ECP278

Abstract

We extend the random characteristics approach to Wigner matrices whose entries are not required to have a normal distribution. As an application, we give a simple and fully dynamical proof of the weak local semicircle law in the bulk.

References in corpus (8)

  • Local semicircle law and complete delocalization for Wigner random matrices
  • Random Matrices with Slow Correlation Decay
  • Edge Universality for Deformed Wigner Matrices
  • Non-Ergodic Delocalization in the Rosenzweig-Porter Model
  • Local Kesten--McKay law for random regular graphs
  • Local law of addition of random matrices on optimal scale
  • The Phase Transition in the Ultrametric Ensemble and Local Stability of Dyson Brownian Motion
  • Delocalization and continuous spectrum for ultrametric random operators

Cited by in corpus (1)

  • On the mean-field equations for ferromagnetic spin systems
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