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math.SP2010★ 3 cited
Pointwise Decay of Fourier-Stieltjes transform of the Spectral Measure for Jacobi Matrices with Faster-than-Exponential Sparse Perturbations
S. L. Carvalho, D. H. U. Marchetti, W. F. Wreszinski
We consider off-diagonal Jacobi matrices with (faster-than-exponential) sparse perturbations. We prove (Theorem \ref{onehalf}) that the Fourier transform $\hat{\left\| f\right\…
math.SP2010★ 6 cited
On the uniform distribution of the Prüfer angles and its implication to a sharp spectral transition of Jacobi matrices with randomly sparse perturbations
S. L. Carvalho, D. H. U. Marchetti, W. F. Wreszinski
In the present work we consider off-diagonal Jacobi matrices with uncertainty in the position of sparse perturbations. We prove (Theorem 3.2) that the sequence of Prüfer angles (θ_…