Limit Shapes of the Stochastic Six Vertex Model
| Authors |
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| Publication date | 2018 |
| Journal | Communications in Mathematical Physics |
| Volume | Issue number | 363 | 3 |
| Pages (from-to) | 741-765 |
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| 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
(Final published version)
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