A note on Lyapunov exponents of deterministic strongly mixing potentials

被引：4

作者：

Bourgain, Jean ^{[1
]}

Bourgain-Chang, Eric ^{[2
]}

机构：

[1] Inst Adv Study, Princeton, NJ 08540 USA

[2] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

来源：

JOURNAL OF SPECTRAL THEORY | 2015年 / 5卷 / 01期

关键词：

Lyapounov exponent; Schrodinger operator; transfer matrix;

D O I：

10.4171/JST/89

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this Note, we consider 1D lattice Schrodinger operators with deterministic strongly mixing potentials as studied in [3] and [2] with very small coupling. We describe a scheme to establish positivity of the Lyapunov exponent from a statement at some fixed scale. The required input may then be derived from Furstenberg theory, if the underlying dynamics are sufficiently mixing, or verified directly by numerical means.

引用

页码：1 / 15

页数：15

共 50 条

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