Mathematical Physics Seminar
We describe recent work involving stochastic interacting particle systems
related to quantum integrable systems. The theory we develop unites all
known exactly solvable models in the Kardar-Parisi-Zhang universality class
(including also random growth models, directed polymers, random matrices,
random tilings, random walks in random environments), as well as provides
new examples of solvable systems, and new tools in their analysis.