The landscape law for the integrated density of states

被引：13
作者：
David, G. [1 ]
Filoche, M. [2 ]
Mayboroda, S. [3 ]
机构：
[1] Univ Paris Saclay, Lab Math Orsay, F-91405 Orsay, France
[2] Inst Polytech Paris, CNRS, Ecole Polytech, Lab Phys Matiere Condensee, F-91220 Palaiseau, France
[3] Univ Minnesota, Sch Math, 206 Church St SE, Minneapolis, MN 55455 USA
来源：
ADVANCES IN MATHEMATICS | 2021年 / 390卷
基金：
美国国家科学基金会; 欧盟地平线“2020”;
关键词：
Integrated density of states; Localization; Weyl law; Landscape; ANDERSON; TAILS; DECAY;
D O I：
10.1016/j.aim.2021.107946
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The present paper establishes non-asymptotic estimates from above and below on the integrated density of states of the Schrodinger operator L = -Delta + V, using a counting function for the minima of the localization landscape, a solution to the equation Lu = 1. (c) 2021 Published by Elsevier Inc.
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页数：34
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