{ "id": "1712.06883", "version": "v1", "published": "2017-12-19T11:52:19.000Z", "updated": "2017-12-19T11:52:19.000Z", "title": "Spectral Statistics for Anderson Model with sporadic potentials", "authors": [ "Werner Kirsch", "Maddaly Krishna" ], "categories": [ "math-ph", "math.FA", "math.MP", "math.SP" ], "abstract": "In this paper we consider 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.", "revisions": [ { "version": "v1", "updated": "2017-12-19T11:52:19.000Z" } ], "analyses": { "subjects": [ "82B44", "47B80", "60H25" ], "keywords": [ "anderson model", "spectral statistics", "sporadic potentials", "poisson statistics holds", "large number" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }