On the density of states of the one dimensional quasi-periodic Schrodinger operators

被引：2

作者：

Amor, Sana Hadj ^{[1
]}

机构：

[1] Univ Paris 07, Dept Math, F-75013 Paris, France

来源：

COMPTES RENDUS MATHEMATIQUE | 2006年 / 343卷 / 06期

关键词：

D O I：

10.1016/j.crma.2006.08.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove two results on the density of states of the discrete one dimensional quasi-periodic Schrodinger equation with an analytic potential and Diophantine frequencies in the perturbed regime. On the one hand, we prove that this function has the behavior of a Holder-1/2 function. On the other, we show that the length of the gaps has a sub-exponential estimate which depends on its label given by the gap-labeling theorem.

引用

页码：423 / 426

页数：4

共 8 条

[1] A METAL-INSULATOR-TRANSITION FOR THE ALMOST MATHIEU MODEL [J].