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math.SP2008
The Nevai Condition
Jonathan Breuer, Yoram Last, Barry Simon
We study Nevai's condition that for orthogonal polynomials on the real line, where is the CD kernel. We prove that it holds f…
math.SP2007★ 1 cited
Spectral and Dynamical Properties of Certain Random Jacobi Matrices with Growing Parameters
Jonathan Breuer
In this paper, a family of random Jacobi matrices, with off-diagonal terms that exhibit power-law growth, is studied. Since the growth of the randomness is slower than that of thes…
math.SP2007
Stability of Spectral Types for Jacobi Matrices Under Decaying Random Perturbations
Jonathan Breuer, Yoram Last
We study stability of spectral types for semi-infinite self-adjoint tridiagonal matrices under random decaying perturbations. We show that absolutely continuous spectrum associated…