Titlebook: Large Random Matrices: Lectures on Macroscopic Asymptotics; École d‘Été de Proba Alice Guionnet Book 2009 Springer-Verlag Berlin Heidelberg

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Alice Guionnet political and economic context. Both the Camp David peace accord of autumn 1978 between Egypt and Israel, negotiated with the help of President Carter, and the ousting of the regime of the Shah of Iran by the followers of Ayatollah Khomeini triggered a second wave of increases in oil prices. Questi

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political and economic context. Both the Camp David peace accord of autumn 1978 between Egypt and Israel, negotiated with the help of President Carter, and the ousting of the regime of the Shah of Iran by the followers of Ayatollah Khomeini triggered a second wave of increases in oil prices. Questi

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Wigner’s theorem. Actually, Catalan numbers count many other combinatorial objects. In a first part, we shall see that they also enumerate non-crossing partitions as well as Dick paths, a fact which we shall use later. As a warm-up to matrix models, we will also state the bijection with planar maps with one star. T

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Words in several independent Wigner matrices independent entries . above the diagonal that are centered and with variance one. Moreover, the . are independent. We shall generalize Theorem 3.3 to the case where one considers words in several matrices, that is show that . converges for all choices of . and give a combinatorial interpretation of