33 citations · 61 across the 10 of their papers we have counts for
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On the Spectrum of Multi-Frequency Quasiperiodic Schrödinger Operators with Large Coupling
Michael Goldstein, Wilhelm Schlag, Mircea Voda
We study multi-frequency quasiperiodic Schrödinger operators on . We prove that for a large real analytic potential satisfying certain restrictions the spectrum consis…
On localization and the spectrum of multi-frequency quasi-periodic operators
Michael Goldstein, Wilhelm Schlag, Mircea Voda
We study multi-frequency quasi-periodic Schrödinger operators on in the regime of positive Lyapunov exponent and for general analytic potentials. Combining Bourgain's…
Non-Perturbative Localization with Quasiperiodic Potential in Continuous Time
Ilia Binder, Damir Kinzebulatov, Mircea Voda
We consider continuous one-dimensional multifrequency Schrödinger operators, with analytic potential, and prove Anderson localization in the regime of positive Lyapunov exponent fo…
Homogeneity of the spectrum for quasi-periodic Schrödinger operators
Michael Goldstein, David Damanik, Wilhelm Schlag +1
We consider the one-dimensional discrete Schrödinger operator , with real-ana…
Hölder continuity of the integrated density of states for quasi-periodic Jacobi operators
Kai Tao, Mircea Voda
We show Hölder continuity for the integrated density of states of a quasi-periodic Jacobi operator with analytic coefficients, in the regime of positive Lyapunov exponent and with…
On Optimal Separation of Eigenvalues for a Quasiperiodic Jacobi Matrix
Ilia Binder, Mircea Voda
We consider quasiperiodic Jacobi matrices of size N with analytic coefficients. We show that, in the positive Lyapunov exponent regime, after removing some small sets of energies a…