Integrable Models in Statistical Physics & their Universality (I)


Craig Tracy

13:30:00 - 15:00:00

308 , Mathematics Research Center Building (ori. New Math. Bldg.)

The 2D Ising model, random matrix models with invariant measures, and the asymmetric simple exclusion process (ASEP) are three examples of “integrable” stochastic models. We explain how these three examples have led to more general mathematical theories. For ASEP we show how ideas of Hans Bethe (1931) lead to exact formulas for various transition probabilities. Also for ASEP, we explain the connection with stochastically growing interfaces including an overview of the experimental verification of some of these theoretical ideas. Part I of these lectures will focus on the first two stochastic models and Part II on ASEP.