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• W2161036230 abstract "A non-Hermitian random matrix model proposed a few years ago has a remarkably intricate spectrum. Various attempts have been made to understand the spectrum, but even its dimension is not known. Using the Dyson?Schmidt equation, we show that the spectrum consists of a non-denumerable set of lines in the complex plane. Each line is the support of the spectrum of a periodic Hamiltonian, obtained by the infinite repetition of any finite sequence of the disorder variables. Our approach is based on the 'theory of words'. We make a complete study of all four-letter words. The spectrum is complicated because our matrix contains everything that will ever be written in the history of the universe, including this particular paper." @default.
• W2161036230 created "2016-06-24" @default.
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• W2161036230 date "2003-03-13" @default.
• W2161036230 modified "2023-09-27" @default.
• W2161036230 title "On the remarkable spectrum of a non-Hermitian random matrix model" @default.
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• W2161036230 doi "https://doi.org/10.1088/0305-4470/36/12/330" @default.
• W2161036230 hasPublicationYear "2003" @default.
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