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math.SP2012★ 7 cited
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…
math-ph2012
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 $…