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SUMMARY:Stochastic\, deterministic and integrable aspects of random matrix
  theory - Antonio Moro (Northumbria University)
DTSTART:20221018T093000Z
DTEND:20221018T100000Z
UID:TALK182501@talks.cam.ac.uk
DESCRIPTION:Various important examples of random matrix ensembles have bee
 n proven to be intimately connected to Integrable Systems via the properti
 es 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.\nIn this t
 alk\, we discuss how some stochastic properties of the underlying random m
 atrix ensemble may persist in the thermodynamic limit when order parameter
 s\, seen as functions evolving in the space of thermodynamic variables\, d
 evelop a dispersive shock.&nbsp\;A particular\, renowned model of Hermitia
 n Random Matrices associated to the Volterra/Kac-van Moerbeke hierarchy wi
 ll be discussed.
LOCATION:Seminar Room 1\, Newton Institute
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