Affiliation:
1. School of Mathematical Sciences, Queen Mary University of London, Mile End Road, London E1 4NS, England
Abstract
Abstract
Recently, Hislop and Marx studied the dependence of the integrated density of states on the underlying probability distribution for a class of discrete random Schrödinger operators and established a quantitative form of continuity in weak* topology. We develop an alternative approach to the problem, based on Ky Fan inequalities, and establish a sharp version of the estimate of Hislop and Marx. We also consider a corresponding problem for continual random Schrödinger operators on $\mathbb{R}^d$.
Publisher
Oxford University Press (OUP)
Reference9 articles.
1. Double operator integrals in a Hilbert space;Birman;Integr. Equat. Oper. Th.,2003
2. Bounds on the density of states for Schrödinger operators;Bourgain;Invent. Math.,2013
3. Log Hölder continuity of the integrated density of states for stochastic Jacobi matrices;Craig;Comm. Math. Phys.,1983
4. Continuity with respect to disorder of the integrated density of states;Hislop;Illinois J. Math.,2005
5. Dependence of the density of states on the probability distribution for discrete random Schrödinger operators;Hislop;Int. Math. Res. Notices,2018
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献