Asymptotics of Random Matrices and Related Models: The Uses of Dyson-schwinger Equations (CBMS Regional Conference Series in Mathematics, 130, Band 130) - Softcover

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Using the asymptotic analysis of Dyson-Schwinger (or loop) equations, Guionnet deals with strongly interacting systems of large numbers in which the interaction overcomes entropy. More specifically, she shows how to use these techniques to derive the law of large numbers and the central limit theorems. She covers the example of the Gaussian unitary ensemble, Wigner random matrices, beta-ensembles, discrete beta-ensembles, continuous beta-models: the several cut case, several matrix-ensembles, and universality for beta-models. Annotation ©2019 Ringgold, Inc., Portland, OR (protoview.com)

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