• Corpus ID: 254877062

Strong law of large numbers for the stochastic six vertex model

@inproceedings{Drillick2022StrongLO,
  title={Strong law of large numbers for the stochastic six vertex model},
  author={Hindy Drillick and Yier Lin},
  year={2022}
}
. We consider the inhomogeneous stochastic six vertex model with periodicity starting from step initial data. We prove that it converges almost surely to a deterministic limit shape. For the proof, we map the stochastic six vertex model to a deformed version of the discrete Hammersley process [Sep97, BEGG16]. Then we construct a colored version of the model and apply Liggett’s superadditive ergodic theorem. The construction of the colored model includes a new idea using a Boolean-type product… 
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