Limit Shapes in the Stochastic Six Vertex Model (Ananth Sridhar, TU Berlin)
27.11.2017 15:15
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.
Lieu
Room 17, Séminaire "Mathématique Physique"
Organisé par
Section de mathématiquesIntervenant-e-s
Ananth Sridhar, TU Berlinentrée libre
Classement
Catégorie: Séminaire