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- W2887688077 abstract "This article considers two cases of two-matrix models that are amenable to biorthogonal polynomials: Itzykson-Zuber interaction and Cauchy interaction. The features and applications of the biorthogonal polynomials relevant to either case are discussed, but first the article provides an overview of chain-matrix models. It then describes the Itzykson-Zuber Hermitian two-matrix model and the Christoffel–Darboux identities, along with the spectral curve. It also examines the so-called mixed correlation functions that are involved in the combinatorial applications of the two-matrix model before concluding with an analysis of the Cauchy two-matrix model, which in a ‘complication scale’ turns out to lie in between the one-matrix model and the Itzykson-Zuber two-matrix model." @default.
- W2887688077 created "2018-08-22" @default.
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- W2887688077 date "2015-09-17" @default.
- W2887688077 modified "2023-10-16" @default.
- W2887688077 title "Two-matrix models and biorthogonal polynomials" @default.
- W2887688077 doi "https://doi.org/10.1093/oxfordhb/9780198744191.013.15" @default.
- W2887688077 hasPublicationYear "2015" @default.
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