8 citations · 32 across the 8 of their papers we have counts for
8 papers
Limit-Periodic Schrodinger Operators on Z^d: Uniform Localization
David Damanik, Zheng Gan
We exhibit d-dimensional limit-periodic Schrodinger operators that are uniformly localized in the strongest sense possible. That is, for each of these operators, there is a uniform…
Spectral Properties of Limit-Periodic Schrödinger Operators (PhD Thesis)
Zheng Gan
We investigate spectral properties of limit-periodic Schrödinger operators in . Our goal is to exhibit as rich a spectral picture as possible. We regard limit-periodic…
Discontinuity of the Lyapunov Exponent
Zheng Gan, Helge Krueger
We study discontinuity of the Lyapunov exponent. We construct a limit-periodic Schrödinger operator, of which the Lyapunov exponent has a positive measure set of discontinuities. W…
Limit-Periodic Schrödinger Operators With Uniformly Localized Eigenfunctions
David Damanik, Zheng Gan
We exhibit limit-periodic Schrödinger operators that are uniformly localized in the strongest sense possible. That is, for these operators there are uniform exponential decay rates…
An Exposition of the Connection between Limit-Periodic Potentials and Profinite Groups
Zheng Gan
We classify the hulls of different limit-periodic potentials and show that the hull of a limit-periodic potential is a procyclic group. We describe how limit-periodic potentials ca…
Optimality of log Hölder continuity of the integrated density of states
Zheng Gan, Helge Krueger
We construct examples, that log Hölder continuity of the integrated density of states cannot be improved. Our examples are limit-periodic.
Limit-Periodic Schrödinger Operators in the Regime of Positive Lyapunov Exponents
David Damanik, Zheng Gan
We investigate the spectral properties of the discrete one-dimensional Schrödinger operators whose potentials are generated by continuous sampling along the orbits of a minimal tra…
Spectral Properties of Limit-Periodic Schrödinger Operators
David Damanik, Zheng Gan
We investigate the spectral properties of Schrödinger operators in l^2(Z) with limit-periodic potentials. The perspective we take was recently proposed by Avila and is based on reg…