# Observables of Stochastic Colored Vertex Models and Local Relation

@article{Bufetov2021ObservablesOS, title={Observables of Stochastic Colored Vertex Models and Local Relation}, author={Alexey Bufetov and Sergei Korotkikh}, journal={Communications in Mathematical Physics}, year={2021} }

We study the stochastic colored six vertex (SC6V) model and its fusion. Our main result is an integral expression for natural observables of this model -- joint q-moments of height functions. This generalises a recent result of Borodin-Wheeler. The key technical ingredient is a new relation of height functions of SC6V model in neighboring points. This relation is of independent interest; we refer to it as a local relation. As applications, we give a new proof of certain symmetries of height…

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