Sep 14 – 16, 2020
SISSA
Europe/Rome timezone

Fredholm determinants, exact solutions to the Kardar-Parisi-Zhang equation and integro-differential Painlevé equations.

Sep 16, 2020, 5:30 PM
50m
Chairman: Marco Bertola

Chairman: Marco Bertola

Scientific Programme

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)

Presentation materials