33 citations · 61 across the 10 of their papers we have counts for
11 papers
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…
Cartan Covers and Doubling Bernstein Type Inequalities on Analytic Subsets of
Michael Goldstein, Wilhelm Schlag, Mircea Voda
We prove a version of the doubling Bernstein inequalities for the trace of an analytic function of two variables on an analytic subset of . The estimate applies to th…
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 the Sum of the Non-Negative Lyapunov Exponents for Some Cocycles Related to the Anderson Model
Ilia Binder, Michael Goldstein, Mircea Voda
We provide an explicit lower bound for the the sum of the non-negative Lyapunov exponents for some cocycles related to the Anderson model. In particular, for the Anderson model on…
On fluctuations and localization length for the Anderson model on a strip
Ilia Binder, Michael Goldstein, Mircea Voda
We consider the Anderson model on a strip. Assuming that potentials have bounded density with considerable tails we get a lower bound for the fluctuations of the logarithm of the G…
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…
An Estimate on the Number of Eigenvalues of a Quasiperiodic Jacobi Matrix of Size Contained in an Interval of Size
Ilia Binder, Mircea Voda
We consider infinite quasi-periodic Jacobi self-adjoint matrices for which the three main diagonals are given via values of real analytic functions on the trajectory of the shift $…
Solution of a Loewner Chain Equation in Several Complex Variables
Mircea Voda
We find a solution to the Loewner chain equation in the case when the infinitesimal generator satisfies h(0,t)=0, Dh(0,t)=A for any linear operator with m(A)>0. We also study the r…