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Weak Bloch property for discrete magnetic Schrödinger operators. (English) Zbl 0985.58011
The authors study the spectral properties of the discrete magnetic Laplacian in terms of the growth function of a graph. They also study the behaviour of the bottom of the spectrum as a function of the magnetic flux. They exhibit various examples which have interesting properties.

58J50 Spectral problems; spectral geometry; scattering theory on manifolds
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