Spectral Statistics for an Anderson Model with sporadic potentials

2017/12/19 by Werner Kirsch, Kirsch, Werner, M. Krishna +2
Mathematics · Physics and Astronomy · #47B80 #60H25 #82B44 #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Physics (math-ph) #Quantum chaos and dynamical systems #Random Matrices and Applications #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics #math-ph #math.FA #math.MP #math.SP #msc:47B80 #msc:60H25 #msc:82B44

paper · pdf · doi:10.48550/arxiv.1712.06883

openalex publication_date 2017/12/19 · arxiv created 2020/03/24 · arxiv updated 2020/03/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we consider an Anderson model with a large number of sites with zero interaction. For such models we study the spectral statistics in the region of complete localization. We show that Poisson statistics holds for such energies, by proving the Minami estimate.

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