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

Authors

Rui Han, University of California, Irvine
Chris A. Marx, Oberlin College

Document Type

Article

Publication Date

1-1-2018

Abstract

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

Publication Source (Journal or Book title)

Annales Henri Poincare

First Page

249

Last Page

265

Recommended Citation

Han, R., & Marx, C. (2018). Large Coupling Asymptotics for the Lyapunov Exponent of Quasi-Periodic Schrödinger Operators with Analytic Potentials. Annales Henri Poincare, 19 (1), 249-265. https://doi.org/10.1007/s00023-017-0626-6