Speaker
Alexandre Krajenbrink
(SISSA)
Description
As Fredholm determinants are more and more frequent in the context of stochastic integrability, I discuss in this talk the existence of a common framework in many integrable systems where they appear. This consists in a hierarchy of equations, akin to the Zakharov-Shabat system, connecting an integro-differential extension of the Painlevé II hierarchy, the finite-time solutions of the Kardar-Parisi-Zhang equation and multi-critical fermions at finite temperature.
The talk is based on the results of the paper arXiv:2008.01509.
Primary author
Alexandre Krajenbrink
(SISSA)
