# Symmetries of stochastic colored vertex models

@article{Galashin2021SymmetriesOS,
title={Symmetries of stochastic colored vertex models},
author={Pavel Galashin},
journal={The Annals of Probability},
year={2021}
}
• Pavel Galashin
• Published 13 March 2020
• Mathematics
• The Annals of Probability
Author(s): Galashin, Pavel | Abstract: We discover a new property of the stochastic colored six-vertex model called flip invariance. We use it to show that for a given collection of observables of the model, any transformation that preserves the distribution of each individual observable also preserves their joint distribution. This generalizes recent shift-invariance results of Borodin-Gorin-Wheeler. As limiting cases, we obtain similar statements for the Brownian last passage percolation, the…

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