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Séminaire de Probabilités commun ICJ/UMPA

Limit Shapes in the Stochastic Six Vertex Model

by Ananth Sridhar

jeudi 1 février 2018 de au (Europe/Paris)
at UMPA ( salle 435 )
Description
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.