Cantor spectrum for Schrödinger operators with potentials arising from generalized skew-shifts-Reference-Cited by-同舟云学术

Cantor spectrum for Schrödinger operators with potentials arising from generalized skew-shifts

Published:2009-02-01 Issue:2 Volume:146 Page:
ISSN:0012-7094
Container-title:Duke Mathematical Journal
language:
Short-container-title:Duke Math. J.

Author:

Avila Artur¹,Bochi Jairo²,Damanik David³

Affiliation:

1. Centre National de la Recherche Scientifique, Laboratoire de Probabilités et Modèles Aléatoires; Instituto Nacional de Matemática Pura e Aplicada

2. Departamento de Matemática, Pontifícia Universidade Católica do Rio de Janeiro

3. Department of Mathematics, Rice University

Publisher

Duke University Press

Subject

General Mathematics

Reference23 articles.

1. D. Lenz, Singular spectrum of Lebesgue measure zero for one-dimensional quasicrystals, Comm. Math. Phys. 227 (2002), 119--130.

2. —, Green's Function Estimates for Lattice Schrödinger Operators and Applications, Ann. of Math. Stud. 158, Princeton Univ. Press, Princeton, 2005.

3. A. Avila and J. Bochi, A uniform dichotomy for generic $\SL(2,\R)$ cocycles over a minimal base, Bull. Soc. Math. France 135 (2007), 407--417.

4. A. Avila and D. Damanik, Generic singular spectrum for ergodic Schrödinger operators, Duke Math. J. 130 (2005), 393--400.

5. J. Bochi, Genericity of zero Lyapunov exponents, Ergodic Theory Dynam. Systems 22 (2002), 1667--1696.

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