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Title:
Asymptotics in discrete Beta-ensembles
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Abstract:
We will discuss the fluctuations in discrete Beta-ensembles. Such distributions describe for instance the positions of lozenge tilings and ressemble the continuous Beta-ensembles which appear in random matrix ensembles. We will highlight the role of equations introduced by Nekrasov in this context, which play the same crucial role than Dyson-Schwinger equations in the continuous case, but are not obtained by a straightforward integration by part.
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