Title: Interacting particle systems
Abstract:
In recent years, there has been a lot of interest in one-dimensional
particle systems such as the asymmetric simple exclusion process (ASEP)
and other similar stochastic particle systems.
Since the transition probability of ASEP was found in 2008, dozens of
similar solutions have been presented for one-dimensional models
presentable as 1D interacting particle systems. These models have
turned out to have connections to other fields e.g. random matrix
theory and Macdonald symmetric functions.
The talk will begin with the basics of one-dimensional interacting
particle models and proceed to the (coordinate) Bethe ansatz,
connections random matrix theory and symmetric functions,
KPZ universality and connections to physical spin models.