Event Detail

Event Type: 
Analysis Seminar
Date/Time: 
Monday, February 21, 2022 - 12:00 to 12:50
Location: 
Zoom. Please contact Elaine Cozzi for the link.

Speaker Info

Local Speaker: 
Abstract: 

I will present exact probability formulas, obtained via the Bethe Ansatz, for interacting particle systems on a one-dimensional lattice. The Bethe Ansatz, originally introduced in 1931 by Hans Bethe, is a method to diagonalize some linear operators that have certain symmetries; I will make this more precise in the talk. In particular, I will focus on two models: the Heisenberg-Ising spin-1/2 chain (aka XXZ spin-1/2 chain) and the asymmetric simple exclusion process (ASEP). I will present some well-known results from the literature for the ASEP and some recent results based on joint work with C.A. Tracy for the XXZ.