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Continuity properties of the electronic spectrum of 1D quasicrystals

Authors:

J Bellissard B Iochum D Testard

Institution:

1. Centre de Physique Théorique, C.N.R.S. Luminy Case 907, F-13288, Marseille Cedex 9, France

Abstract:

In this paper we consider operatorsH( agr

,x) defined onl ²( Zopf

) by

$H(\alpha ,x)\psi (n) = \sum\limits_{m \in \mathbb{Z}} {t_m \circ \phi ^{ - n} (\alpha ,x)} \psi (n - m),$

Keywords:
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