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Skew-Orthogonal Polynomials and Random Matrix Theory - 9780821848784

Un libro in lingua di Saugata Ghosh edito da Amer Mathematical Society, 2009

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Ghosh develops the theory of skew-orthogonal polynomials and obtains recursion relations which (unlike orthogonal polynomials) depend on weight functions. After deriving reduced expressions (called the generalized Christoffel-Darboux formulas [GCD]), he obtains universal correlation functions and non-universal level densities for a wide class of random matrix ensembles using the GCD. The author also shows that once questions about higher order effects are considered, the use of the GCD promises to be efficient. Annotation ©2009 Book News, Inc., Portland, OR (booknews.com)

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