Asymptotics in discrete Beta-ensembles
Presenter
November 13, 2017
Keywords:
- Random matrix theory
- random tilings
MSC:
- 60B10
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.