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math.PR2020
Observables of coloured stochastic vertex models and their polymer limits
Alexei Borodin, Michael Wheeler
In the context of the coloured stochastic vertex model in a quadrant, we identify a family of observables whose averages are given by explicit contour integrals. The observables ar…
math.PR2020
Shift-invariance for vertex models and polymers
Alexei Borodin, Vadim Gorin, Michael Wheeler
We establish a symmetry in a variety of integrable stochastic systems: Certain multi-point distributions of natural observables are unchanged under a shift of a subset of observati…