May 23 – 27, 2022
SISSA
Europe/Rome timezone

Integrable differential equations for KPZ fixed point with narrow-wedge initial condition

May 24, 2022, 2:30 PM
45m
ZOOM ROOM

ZOOM ROOM

Speaker

Jinho Baik (University of Michigan)

Description

The KPZ fixed point is a two-dimensional random field that is the conjectured limit of the height functions of the KPZ universality class for random growth models. The one-point distribution of the KPZ fixed point is the Tracy-Widom distribution which is related to the Painlevel II equation. The equal-time, multi-position distributions are also known to be related to integrable differential equations. We will discuss integrable differential equations for multi-time distributions. We also discuss similar results for the periodic KPZ fixed point.

Primary author

Jinho Baik (University of Michigan)

Presentation materials