Discrete Models and KPZ Universality

Wednesday 18th October 2017 at Durham University

In recent years, there has been an explosion of activity around the `KPZ universality class', a universality class which contains many models featuring a strong interaction component. In this class, fluctuations typically have a scaling exponent of 1/3 which differs from the usual 1/2 exponent observed in the central limit theorem. Moreover, these fluctuations are governed by Tracy-Widom type distributions as opposed to Gaussian distributions. This one day workshop focusses on this universality class and some of the discrete models that belong to this class, such as random tiling models, polymer models and last passage percolation.