An interacting particle process related to Young tableaux
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXIII, Tome 421 (2014), pp. 47-57

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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 the combinatorics of Young tableaux.
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     author = {A. Borodin and G. Olshanski},
     title = {An interacting particle process related to {Young} tableaux},
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     year = {2014},
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A. Borodin; G. Olshanski. An interacting particle process related to Young tableaux. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXIII, Tome 421 (2014), pp. 47-57. http://geodesic.mathdoc.fr/item/ZNSL_2014_421_a3/