A Note on Lyapunov Exponents of Deterministic Strongly Mixing Potentials
classification
🧮 math-ph
math.MP
keywords
mixingdeterministiclyapunovnotepotentialsstronglyconsidercoupling
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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.
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