Some Abstract Wegner Estimates with Applications

Mostafa Sabri

Research output: Contribution to journalArticlepeer-review


We prove some abstract Wegner bounds for random self-adjoint operators. Applications include elementary proofs of Wegner estimates for discrete and continuous Anderson Hamiltonians with possibly sparse potentials, as well as Wegner bounds for quantum graphs with random edge length or random vertex coupling. We allow the coupling constants describing the randomness to be correlated and to have quite general distributions.

Original languageEnglish (US)
Pages (from-to)311-339
Number of pages29
JournalLetters in Mathematical Physics
Issue number3
StatePublished - Mar 2014


  • quantum graphs
  • random operators
  • sparse potentials
  • Wegner estimates

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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