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arXiv · 1005.0181

Discontinuity of the Lyapunov Exponent

Zheng Gan·Helge Krueger
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Abstract

We study discontinuity of the Lyapunov exponent. We construct a limit-periodic Schrödinger operator, of which the Lyapunov exponent has a positive measure set of discontinuities. We also show that the limit-periodic potentials, whose Lyapunov exponent is discontinuous, are dense in the space of limit-periodic potentials.

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Zheng Gan, Helge Krueger. 2010-05-03. Discontinuity of the Lyapunov Exponent. https://arxiv.org/abs/1005.0181

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