2 papers
math-ph2013
A Note on Lyapunov Exponents of Deterministic Strongly Mixing Potentials
Jean Bourgain, Eric Bourgain-Chang
In this Note, we consider 1D lattice Schrodinger operators with deterministic strongly mixing potentials with very small coupling. We describe a scheme to establish positiv- ity of…
math-ph2013
Spectral Aspects of the Skew-Shift Operator: A Numerical Perspective
Eric Bourgain-Chang
In this paper we perform a numerical study of the spectra, eigenstates, and Lyapunov exponents of the skew-shift counterpart to Harper's equation. This study is motivated by variou…