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Dynamical Localization for the One-dimensional Continuum Anderson Model in a Decaying Random Potential

Mathematical Physics 2020-10-28 v1 math.MP Spectral Theory

Abstract

We consider a one-dimensional continuum Anderson model where the potential decays in average like xα|x|^{-\alpha}, α>0\alpha>0. We show dynamical localization for 0<α<120<\alpha<\frac12 and provide control on the decay of the eigenfunctions.

Keywords

Cite

@article{arxiv.2001.02197,
  title  = {Dynamical Localization for the One-dimensional Continuum Anderson Model in a Decaying Random Potential},
  author = {Olivier Bourget and Gregorio R. Moreno Flores and Amal Taarabt},
  journal= {arXiv preprint arXiv:2001.02197},
  year   = {2020}
}
R2 v1 2026-06-23T13:05:17.437Z