A Note on Lyapunov Exponents of Deterministic Strongly Mixing Potentials
Mathematical Physics
2013-12-24 v1 math.MP
Abstract
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 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.
Keywords
Cite
@article{arxiv.1312.6164,
title = {A Note on Lyapunov Exponents of Deterministic Strongly Mixing Potentials},
author = {Jean Bourgain and Eric Bourgain-Chang},
journal= {arXiv preprint arXiv:1312.6164},
year = {2013}
}