Limit Shapes of the Stochastic Six Vertex Model

Authors
Publication date 2018
Journal Communications in Mathematical Physics
Volume | Issue number 363 | 3
Pages (from-to) 741-765
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
Abstract It is shown that limit shapes for the stochastic 6-vertex model on a cylinder with the uniform boundary state on one end are solutions to the Burger type equation. Solutions to these equations are studied for step initial conditions. When the circumference goes to infinity the solution corresponding to critical initial densities coincides with the one found by Borodin, Corwin, and Gorin.
Document type Article
Language English
Published at https://doi.org/10.1007/s00220-018-3253-2
Other links https://www.scopus.com/pages/publications/85053771354
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