• Eigenfunction statistics for Anderson model with Hölder continuous single site potential

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      https://www.ias.ac.in/article/fulltext/pmsc/126/04/0577-0589

    • Keywords

       

      Anderson model; Hölder continuous measure; Poisson statistics

    • Abstract

       

      We consider random Schrödinger operators on ${\mathcal l}^{2} ({\mathbb Z}^d)$ with $\alpha$-Hölder continuous $(0 \lt \alpha \leq 1)$ single site distribution. In localized regime, we study the distribution of eigenfunctions in space and energy simultaneously. In a certain scaling limit, we prove limit points are Poisson.

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  • Proceedings – Mathematical Sciences | News

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