From the totally asymmetric simple exclusion process to the KPZ fixed point
arXiv:1710.02635
Abstract
These are the lecture notes for the mini-course at the PCMI graduate summer school in 2017. These notes are based on the article by Matetski, Quastel and Remenik arXiv:1701.00018 and give a self-contained exposition of construction of the KPZ fixed point.
arXiv comment37 pages
References in corpus (5)
- Discrete polynuclear growth and determinantal processes
- Exact Solution of the Master Equation for the Asymmetric Exclusion Process
- The One-dimensional KPZ Equation and the Airy Process
- Why random matrices share universal processes with interacting particle systems?
- Formulas and Asymptotics for the Asymmetric Simple Exclusion Process