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

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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. 
@article{ZNSL_2016_448_a3,
     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},
     pages = {69--79},
     publisher = {mathdoc},
     volume = {448},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2016_448_a3/}
}
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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/