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arXiv · 1610.02137

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

Zhenghe Zhang
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Abstract

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 Schr\"odinger operators is uniformly positive for all energies provided the coupling constant is large.

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Zhenghe Zhang. 2016-10-07. Uniform positivity of the Lyapunov exponent for monotone potentials generated by the doubling map. https://arxiv.org/abs/1610.02137

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