Abstract
AbstractWe show that for a large class of potential functions and big coupling constant $$\lambda $$
λ
the Schrödinger cocycle over the expanding map $$x\mapsto bx ~( \text{ mod } 1)$$
x
↦
b
x
(
mod
1
)
on $$\mathbb {T}$$
T
has a Lyapunov exponent $$>(\log \lambda )/4$$
>
(
log
λ
)
/
4
for all energies, provided that the integer $$b\ge \lambda ^3$$
b
≥
λ
3
.
Funder
Royal Institute of Technology
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Statistical and Nonlinear Physics
Cited by
8 articles.
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