Stochastic higher-spin vertex models and their self-duality

Ivan Corwin

We introduce the higher-spin vertex models (which will be discussed in talks of Borodin and Petrov as well) and show how they can be studied using Markov dualities along with there Bethe ansatz diagonalization. This class of models covers essentially all known integrable KPZ class models and unifies the duality approach to their study. This is based on a cycle of joint works with Borodin, Petrov and Sasamoto.

http://scgp.stonybrook.edu/video_portal/video.php?id=2485

Simons- Workshop: Six-vertex models, dimers, shapes, and all that