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math.PR2021
Deformed Polynuclear Growth in Dimensions
Amol Aggarwal, Alexei Borodin, Michael Wheeler
We introduce and study a one parameter deformation of the polynuclear growth (PNG) in -dimensions, which we call the -PNG model. It is defined by requiring that, when two…
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.PR2018
Coloured stochastic vertex models and their spectral theory
Alexei Borodin, Michael Wheeler
This work is dedicated to -related integrable stochastic vertex models; we call such models coloured. We prove several results about these models, which includ…