Article ID Journal Published Year Pages File Type
4591074 Journal of Functional Analysis 2012 27 Pages PDF
Abstract

For the Schrödinger operator on L2(R2) with the magnetic field which is a sample path of a stationary Gaussian random field, a Wegner type estimate applicable for the proof of the Anderson localization is proven by referring a recent method by Erdős and Hasler, and the theory of the Malliavin calculus.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory