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)