Introduces barrier nonsubordinacy and proves it implies absolutely continuous spectrum for block Jacobi matrices, extending d=1 conditions to d greater than or equal to 1.
Simonov, An example of spectral phase transition phenomenon in a class of Jacobi matrices with periodically modulated weights, pp
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Barrier nonsubordinacy and absolutely continuous spectrum of block Jacobi matrices
Introduces barrier nonsubordinacy and proves it implies absolutely continuous spectrum for block Jacobi matrices, extending d=1 conditions to d greater than or equal to 1.