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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Stochastic, deterministic and integrable aspects of random matrix theory

## Stochastic, deterministic and integrable aspects of random matrix theoryAdd to your list(s) Download to your calendar using vCal - Antonio Moro (Northumbria University)
- Tuesday 18 October 2022, 10:30-11:00
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact nobody. HY2W04 - Statistical mechanics, integrability and dispersive hydrodynamics Various important examples of random matrix ensembles have been proven to be intimately connected to Integrable Systems via the properties of their partition functions. The connection lies on the identification of the partition function with the tau function of a particular solution to an integrable hierarchy of nonlinear differential equations. In this talk, we discuss how some stochastic properties of the underlying random matrix ensemble may persist in the thermodynamic limit when order parameters, seen as functions evolving in the space of thermodynamic variables, develop a dispersive shock. A particular, renowned model of Hermitian Random Matrices associated to the Volterra/Kac-van Moerbeke hierarchy will be discussed. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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