Coexistence of absolutely continuous and pure point spectrum for kicked quasiperiodic potentials

DOI10.4171/JST/370zbMath1492.37059arXiv1901.04418OpenAlexW3185739026MaRDI QIDQ2078211

Raphaël Krikorian, Kristian Bjerklöv

Publication date: 28 February 2022

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.04418

zbMATH Keywords

Lyapunov exponentsspectral theoryquasi-periodic cocyclessmooth dynamicsreducibility of cocycles

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25) Local spectral properties of linear operators (47A11)

Related Items (4)

Stability of spectral types of quasi-periodic Schrödinger operators with respect to perturbations by decaying potentials ⋮ Spectral theory of the multi-frequency quasi-periodic operator with a Gevrey type perturbation ⋮ Exact mobility edges for 1D quasiperiodic models ⋮ Phase transition and semi-global reducibility

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