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. 
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     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},
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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/

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