Axel Saenz (Davis)
Wed, Mar 8

In recent work with collaborators Norman Do (Monash Uni.) and Eric Brattain (UC Davis), we have shown that the Bethe ansatz is complete for the periodic ASEP model. The ASEP model is a continuous Markov process which describes a system of N particles on a ring lattice of L sites and each particle has probability p (resp. 1-p) to jump right (resp. left). In our work, we use ideas from topology and complex geometry to obtain our results.