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Moebius Schrodinger

It is shown that the 1-dimensional lattice Schrodinger operator with potential given by a non-zero multiple of the Moebius function has positive Lyapounov exponent. In view of the classical theory of random Schrodinger operators, this may be seen as another manifestation of the Moebius randomness law.

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Moebius Schrodinger3 visible / 3 total nodes / 2 links
AuthorshipTopic signalWMoebius Schrodingerpreprint / 2010AJean BourgainResearcherTmath.AP9009 works
PaperSignal 102 links

Moebius Schrodinger

preprint / 2010

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