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• W2949883450 abstract "Random non-Hermitian Jacobi matrices $J_n$ of increasing dimension $n$ are considered. We prove that the normalized eigenvalue counting measure of $J_n$ converges weakly to a limiting measure $mu$ as $ntoinfty$. We also extend to the non-Hermitian case the Thouless formula relating $mu$ and the Lyapunov exponent of the second-order difference equation associated with the sequence $J_n$. The measure $mu$ is shown to be log-Holder continuous." @default.
• W2949883450 created "2019-06-27" @default.
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• W2949883450 creator A5056595145 @default.
• W2949883450 date "2003-12-09" @default.
• W2949883450 modified "2023-09-27" @default.
• W2949883450 title "Thouless formula for random non-Hermitian Jacobi matrices" @default.
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