Title: Coordinate Bethe ansatz in studying interacting particle systems
Abstract :
The coordinate Bethe ansatz has been quite successful in studying ASEP
(asymmetric simple exclusion process) regarding random matrix theory to
some extent. Specifically, it is used to find the transition probability
of the process, and this transition probability is a starting point for
further works in this direction. In the first part of my talk I will
introduce how the coordinate Bethe ansatz is used in ASEP regarding
random matrix theory and KPZ equation. In the second part, I will
present my results on ASEP and another interacting particle system,
PushASEP for which the Bethe ansatz is applicable.