Moebius Schrodinger

Details Moebius Schrodinger Moebius Schrodinger

2010-12-23

arxiv.org/abs/1012.5217v1

Mathematics

Analysis of PDEs

8 pages

Scientific paper

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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