12/15/2015 - 15:30

12/15/2015 - 16:30

Speaker:

Janosch Ortmann (Concordia University)

Location:

CRM, UdeM, Pavillon André-Aisenstadt, 2920, ch. de la Tour, Salle 4336

Abstract:

KPZ universality describes a scaling behaviour that differs from the central limit theorem by the size of the fluctuations ($n^{1/3}$ instead of $n^{1/2}$) and the limiting distribution. Instead of the Gaussian, the Tracy-Widom distributions from random matrix theory appear in the limit. It is a long standing conjecture that the KPZ universality class contains a large group of models, including particle systems and polymer models. I will discuss two particular examples: a polymer model with gamma weights and the asymmetric exclusion process (ASEP) started from flat and half-flat initial conditions.