Speaker
Prof.
Tom Claeys
Description
Fredholm determinants associated to deformations of the Airy kernel characterize a specific solution of the Kardar-Parisi-Zhang equation, and the same determinants appear in models for finite temperature free fermions. These determinants belong to a class of solutions to the Korteweg-de Vries equation with singular initial data. I will discuss the initial data in detail, and I will explain the implications for the Kardar-Parisi-Zhang equation.
The talk will be based on joint work (in progress) with Mattia Cafasso, Giulio Ruzza and Christophe Charlier.
Primary author
Prof.
Tom Claeys
Co-authors
Prof.
Mattia Cafasso
Dr
Giulio Ruzza
(SISSA)
Prof.
Christophe Charlier
