Geodesic
Modelling of measures close to central ones on the three-dimensional Young graph
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXIV, Tome 432 (2015), pp. 68-82 
N. N. Vasiliev; A. B. Terent'ev. Modelling of measures close to central ones on the three-dimensional Young graph. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXIV, Tome 432 (2015), pp. 68-82. http://geodesic.mathdoc.fr/item/ZNSL_2015_432_a4/
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     author = {N. N. Vasiliev and A. B. Terent'ev},
     title = {Modelling of measures close to central ones on the three-dimensional {Young} graph},
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     pages = {68--82},
     year = {2015},
     volume = {432},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2015_432_a4/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

We describe some computer experiments with 3D Young diagrams for modelling a Markov process whose properties are close to those of the Plancherel growth process in the two-dimensional case. The transition probabilities of this process are defined by formulas that use the lengths of 3D hooks. These formulas were obtained by generalizing well-known formulas for the Plancherel growth process probabilities. Although this 3D Markov process does not generate a central measure, we show that this measure is close to a central one.

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