Title: Totally asymmetric simple exclusion process
Abstract: In a traffic flow of cars in a single lane, a slowly moving car will have an effect on the following cars. Totally asymmetric simple exclusion (TASEP) process is a simple probabilistic model of a similar feature. It is one of the fundamental models in the interacting particle systems. Furthermore, it is one of the first models for which the law of the fluctuations of the particle locations after large time is determined. Surprisingly, the law is related to random matrix theory. We will discuss the fluctuations of the TASEP and other models which exhibit a similar random matrix behavior.