Probability Seminars
Characteristic of a second class particle
With Mustazee Rahman, Durham University
Characteristic of a second class particle
The totally asymmetric simple exclusion process (TASEP) is a microscopic analogue of Burgers equation.
The characteristics of Burgers equation play an important role in its solution. The second class particle in TASEP mirrors the role of a microscopic characteristic. Although much is known about the macroscopic behaviour of the second class particle, it is of interest to understand its fluctuations. I will discuss the behaviour of the second class particle when the initial conditions of TASEP converge under KPZ scaling. The second class particle has a scaling limit, which can be described in terms of geometric concepts arising in the KPZ universality class. This is joint work with Balint Virag.
- Speaker: Mustazee Rahman, Durham University
- Tuesday 01 February 2022, 14:00–15:00
- Venue: Online (Zoom).
- Series: Probability; organiser: Sourav Sarkar.