Mathematics – Spectral Theory
Scientific paper
2010-05-03
Mathematics
Spectral Theory
Scientific paper
We study discontinuity of the Lyapunov exponent. We construct a
limit-periodic Schr\"odinger 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.
Gan Zheng
Krueger Helge
No associations
LandOfFree
Discontinuity of the Lyapunov Exponent does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Discontinuity of the Lyapunov Exponent, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Discontinuity of the Lyapunov Exponent will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-657977