Conditional distribution of the sample mean and localization

2020/04/20 by Trésor Ekanga, Ekanga, Trésor
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum chaos and dynamical systems #Random Matrices and Applications #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2004.09151

openalex publication_date 2020/04/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove a new hypothesis on the conditional distribution of the sample mean of the fluctuations of an i.i.d. random potential in the Anderson model. The paper extends to uniform probability distribution some earlier work with Gaussian distribution and the localization results.

Citations

• On localization in the continuous Anderson-Bernoulli model in higher dimension
• N-body localization for the Anderson model with strongly mixing\n correlated random potentials

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