Mixed spectral types for the one-frequency discrete quasi-periodic Schrödinger operator

DOI10.1090/proc/12929zbMath1353.37010arXiv1508.02787OpenAlexW2963194931MaRDI QIDQ2796730

Shiwen Zhang

Publication date: 29 March 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.02787

zbMATH Keywords

Lyapunov exponentalmost reducibilityquasi-periodic Schrödinger operatorsmixed spectral types

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Schrödinger operator, Schrödinger equation (35J10) Ergodic theorems, spectral theory, Markov operators (37A30) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36) Discrete operational calculus (44A55)

Related Items (2)

Exact mobility edges for 1D quasiperiodic models ⋮ Coexistence of absolutely continuous and pure point spectrum for kicked quasiperiodic potentials

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