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Uniform positivity of the Lyapunov exponent for monotone potentials generated by the doubling map

We show that for any doubling map generated $C^1$ monotone potential with derivative uniformly bounded away from zero, the Lyapunov exponent of the associated Schrödinger operators is uniformly positive for all energies provided the coupling constant is large.

preprint2016arXivOpen access
Zhenghe Zhang
math.DS
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Zhenghe Zhang

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