Limit Shapes in the Stochastic Six Vertex Model

par Ananth Sridhar

jeudi 1 févr. 2018, 14:30 → 15:30 Europe/Paris

salle 435 (UMPA)

The six vertex model can be reformulated as a theory of random stepped surfaces called height functions. In the thermodynamic limit, the random height function of the model typically converge to a deterministic limit shape. We study the limit shapes of the six vertex model with stochastic weights, for which the six vertex model can be viewed as a Markov process. We show that the limit shapes are determined by a conservation law type PDE, that can be solved by the method of characteristics.