Title: Current distribution for ASEP

Abstract:
First, for a review of my last talk, we treat the transition probability 
of the zero range process (ZRP) with constant rates by the bethe ansatz. 
The ZRP with constant rates can be shown to be equivalent to the ASEP. 
Starting from the transition probability, we overview how to obtain the 
current distribution of TASEP and PASEP. In case of PASEP,  there arises 
a combinatorial identity and we prove it if time permits.