Localization near fluctuation boundaries via fractional moments and applications

@article{Monvel2005LocalizationNF,
  title={Localization near fluctuation boundaries via fractional moments and applications},
  author={Anne Boutet de Monvel and Serguei Naboko and Peter Stollmann and Gunter Stolz},
  journal={Journal d’Analyse Math{\'e}matique},
  year={2005},
  volume={100},
  pages={83-116}
}
  • Anne Boutet de Monvel, Serguei Naboko, +1 author Gunter Stolz
  • Published 2005
  • Mathematics, Physics
  • Journal d’Analyse Mathématique
  • We present a short, new, self-contained proof of localization properties of multi-dimensional continuum random Schödinger operators in the fluctuation boundary regime. Our method is based on the recent extension of the fractional moment method to continuum models in [2] but does not require the random potential to satisfy a covering condition. Applications to random surface potentials and potentials with random displacements are included. 

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