Geodesic
Numerical investigation of the asymptotics of the probabilities of paths in a Markov process on the 3D Young graph close to a central one
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXVII, Tome 448 (2016), pp. 69-79 
N. N. Vasiliev; V. S. Duzhin. Numerical investigation of the asymptotics of the probabilities of paths in a Markov process on the 3D Young graph close to a central one. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXVII, Tome 448 (2016), pp. 69-79. http://geodesic.mathdoc.fr/item/ZNSL_2016_448_a3/
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     author = {N. N. Vasiliev and V. S. Duzhin},
     title = {Numerical investigation of the asymptotics of the probabilities of paths in {a~Markov} process on the {3D} {Young} graph close to a~central one},
     journal = {Zapiski Nauchnykh Seminarov POMI},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2016_448_a3/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

The article is devoted to the investigation of the asymptotics of the probabilities of paths in a certain Markov process on the 3D Young graph. We introduce a normalized dimension of paths. We study the growth and oscillations of normalized dimensions along greedy trajectories of this process using computer experiments.

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