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Article

An interacting particle process related to Young tableaux

Journal of Mathematical Sciences. 2014. Vol. 421. P. 47-57.
Borodin A., Olshanski G.

We discuss a stochastic particle system consisting of a two-dimensional array of particles living in one space dimension. The stochastic evolution bears a certain similarity to Hammersley's process, and the particle interaction is governed by combinatorics of the Young tableaux.