Scattering from sparse potentials on graphs

Ph Poulin

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


We study the spectral structure of Schrödinger operators H = ΔA + V for random potentials supported on sparse sets. In the past years examples of such operators whose spectra almost surely satisfy the following properties have been exhibited: Anderson localization holds outside spec(Δ), while the wave operators Ω±(H, Δ) exist inside this last set. We continue this program by presenting sparseness conditions under which Ω±(H,Δ) also exist.

Original languageEnglish
Pages (from-to)151-170
Number of pages20
JournalJournal of Mathematical Physics, Analysis, Geometry
Issue number1
Publication statusPublished - 2008


  • Random schrödinger operators
  • Scattering theory
  • Spectral analysis

ASJC Scopus subject areas

  • Analysis
  • Mathematical Physics
  • Geometry and Topology


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