Anderson localization for multi-frequency quasi-periodic operators on ${\mathbb{Z}}^d$

Abstract

We establish Anderson localization for general analytic $k$-frequency quasi-periodic operators on ${\mathbb{Z}}^d$ for \textit{arbitrary} $k,d$.

Cited by in corpus (10)

• Quantitative inductive estimates for Green's functions of non-self-adjoint matrices
• Exact mobility edges for 1D quasiperiodic models
• Upper bounds on transport exponents for long range operators
• Quantitative Green's Function Estimates for Lattice Quasi-periodic Schrödinger Operators
• Power law logarithmic bounds of moments for long range operators in arbitrary dimension
• Absence of eigenvalues of analytic quasi-periodic Schrodinger operators on ${\mathbb{R}}^d$
• A "lifting" method for exponential large deviation estimates and an application to certain non-stationary 1D lattice Anderson models
• Universality in the 2d quasi-periodic Ising model and Harris-Luck irrelevance
• On the spectra of separable 2D almost Mathieu operators
• Anderson Localization for Long-Range operators with Singular Potentials