Gordon-type arguments in the spectral theory of one-dimensional quasicrystals (Q2709131)

This paper is an interesting survey of recent results in the spectral theory of discrete one-dimensional Schrödinger operators with potentials generated by substitution references or by circle maps. In particular it is shown how combinatorial properties of the sequence of potentials may give information on the structure of the spectrum of the associated Schrödinger operator. The paper ends with an impressive bibliography (more then 100 items).NEWLINENEWLINENEWLINENote that Reference [D2] [the author, Discrete Math. 222, 259-267 (2000; Zbl 0962.68141)], and [D99a] have appeared [the author, J. Math. Anal. Appl. 249, 393-411 (2000; Zbl 0996.37011)].NEWLINENEWLINEFor the entire collection see [Zbl 0955.00025].