Séminaire de Probabilités commun ICJ/UMPA

Limit Shapes in the Stochastic Six Vertex Model

by Ananth Sridhar

salle 435 (UMPA)

salle 435


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.
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