Distribution of localization centers in some discrete random systems

研究成果: Article査読

7 被引用数 (Scopus)

抄録

As a supplement of our previous work [10], we consider the localized region of the random Schrödinger operators on l2(Zd) and study the point process composed of their eigenvalues and corresponding localization centers. For the Anderson model we show that, this point process in the natural scaling limit converges in distribution to the Poisson process on the product space of energy and space. In other models with suitable Wegner-type bounds, we can at least show that limiting point processes are infinitely divisible.

本文言語English
ページ(範囲)941-965
ページ数25
ジャーナルReviews in Mathematical Physics
19
9
DOI
出版ステータスPublished - 2007 10
外部発表はい

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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