DiscoverPeriodic and Ergodic Spectral ProblemsPure point spectrum in the regime of zero Lyapunov exponents
Pure point spectrum in the regime of zero Lyapunov exponents

Pure point spectrum in the regime of zero Lyapunov exponents

Update: 2015-06-30
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Co-author: Anton Gorodetski (UC Irvine)

In the study of ergodic Schrodinger operators, a central role is played by the Lyapunov exponent of the associated Schrodinger cocycle. We discuss a construction showing that the regime of zero Lyapunov exponents can contain pure point spectrum.
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Pure point spectrum in the regime of zero Lyapunov exponents

Pure point spectrum in the regime of zero Lyapunov exponents

Cambridge University