01:39:42
published on July 4, 2025
Lecture 3: What is the Universal Scaling Limit of Random Interface Growth, and What Does It Tell Us?
By Ivan Corwin
Multi-time distribution of periodic TASEP
By Jinho Baik
Appears in collection : Jean-Morlet Chair: Qualitative methods in KPZ universality / Chaire Jean Morlet : Méthodes qualitatives dans la classe d'universalité KPZ
We consider periodic TASEP with periodic step initial condition, and evaluate the joint distribution of the locations of m particles. For arbitrary indices and times, we find a formula for the multi-time, multi-space joint distribution in terms of an integral of a Fredholm determinant. We then discuss the large time limit in the so-called relaxation scale. The one-point distributions for other initial conditions are also going to discussed. Based on joint work with Zhipeng Liu (NYU).
