Discontinuity of the Lyapunov Exponent

نویسنده

  • ZHENG GAN
چکیده

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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تاریخ انتشار 2010