Abstract
We give necessary and sufficient conditions for a Herglotz function to be thew-function of a random stationary Jacobi matrix.
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This paper is dedicated to the memory of Mark Kac.
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Carmona, R., Kotani, S. Inverse spectral theory for random Jacobi matrices. J Stat Phys 46, 1091–1114 (1987). https://doi.org/10.1007/BF01011158
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DOI: https://doi.org/10.1007/BF01011158