This quantity includes the complaints of a convention held on the Courant Institute in 2006 to have fun the sixtieth birthday of Percy A. Deift. this system mirrored the wide-ranging contributions of Professor Deift to research with emphasis on fresh advancements in Random Matrix concept and integrable platforms. The articles during this quantity current a vast view at the state-of-the-art in those fields. themes on random matrices contain the distributions and stochastic procedures linked to neighborhood eigenvalue facts, in addition to their visual appeal in combinatorial types similar to TASEP, final passage percolation and tilings. The contributions in integrable structures ordinarily care for focusing NLS, the Camassa-Holm equation and the Toda lattice. a few papers are dedicated to ideas which are utilized in either fields. those innovations are relating to orthogonal polynomials, operator determinants, specified services, Riemann-Hilbert difficulties, direct and inverse spectral concept. Of unique curiosity is the thing of Percy Deift during which he discusses a few open difficulties of Random Matrix conception and the speculation of integrable structures.
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