• Media type: E-Article
  • Title: Wegner Estimate for Random Divergence-Type Operators Monotone in the Randomness
  • Contributor: Dicke, Alexander
  • Published: Springer Science and Business Media LLC, 2021
  • Published in: Mathematical Physics, Analysis and Geometry, 24 (2021) 3
  • Language: English
  • DOI: 10.1007/s11040-021-09396-0
  • ISSN: 1385-0172; 1572-9656
  • Keywords: Geometry and Topology ; Mathematical Physics
  • Origination:
  • Footnote:
  • Description: AbstractIn this note, a Wegner estimate for random divergence-type operators that are monotone in the randomness is proven. The proof is based on a recently shown unique continuation estimate for the gradient and the ensuing eigenvalue liftings. The random model which is studied here contains quite general random perturbations, among others, some that have a non-linear dependence on the random parameters.