Journal articles
Sparse schrodinger operators
Abstract : We study spectral properties of a family of (Hp, x)x in X, indexed by a non-negative integer p, of one-dimensional discrete operators associated to an ergodic dynamical system (T, X, B, µ) and defined for u in l2(Z) and n in Z by (Hp,x u)(n) = u(n-p)+ u(n+p) + Vx(n)u(n), where Vx(n) = f(T^n x) and f is a real-valued measurable bounded map on X. In some particular cases, we prove that the nature of the spectrum does not change with p. Applications include some classes of random and quasi-periodic substitutional potentials.
Cited literature [33 references]
https://hal-amu.archives-ouvertes.fr/hal-02012523
Contributor : Claire Guille-Biel Winder <>
Submitted on : Friday, February 8, 2019 - 5:29:53 PM
Last modification on : Wednesday, February 13, 2019 - 1:29:25 AM
Long-term archiving on: : Thursday, May 9, 2019 - 4:21:38 PM
Contributor : Claire Guille-Biel Winder <>
Submitted on : Friday, February 8, 2019 - 5:29:53 PM
Last modification on : Wednesday, February 13, 2019 - 1:29:25 AM
Long-term archiving on: : Thursday, May 9, 2019 - 4:21:38 PM
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