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Project B5: Universality beyond determinantal point processes



Summary:

The project is devoted to a better understanding of generalizations of determinantal point processes, going beyond the classical random matrix ensembles. Prime examples to be studied are so-called beta-ensembles in one and two dimensions, fixed trace ensembles and products of Wigner ensembles. In all settings the key question will be the universality of the logarithmic interaction of eigenvalues, with techniques ranging from concentration of measure and complex analysis to free probability.




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