Large Coupling Asymptotics for the Lyapunov Exponent of Quasi-Periodic Schrodinger Operators with Analytic Potentials

Authors

Rui Han
Chris Marx, Oberlin CollegeFollow

Abstract

We quantify the coupling asymptotics for the Lyapunov exponent of a one-frequency quasi-periodic Schrodinger operator with analytic potential sampling function. The result refines the well-known lower bound of the Lyapunov exponent by Sorets and Spencer.

Repository Citation

Han, Rui, and Chris A. Marx. 2018. "Large Coupling Asymptotics for the Lyapunov Exponent of Quasi-Periodic Schrodinger Operators with Analytic Potentials." Annales Henri Poincaré 19(1): 249-265.

Publisher

Springer Basel

Publication Date

1-1-2018

Publication Title

Annales Henri Poincaré

Department

Mathematics

Document Type

Article

DOI

https://dx.doi.org/10.1007/s00023-017-0626-6

Keywords

Cocycles

Language

English

Format

text