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Numerical Study of the Asymptotics of Path Probabilities in a Markov Process Close to a Central One on the 3D Young Graph

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The article is devoted to the study 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 and study the growth and oscillations of normalized dimensions along greedy trajectories of this process using computer experiments. Bibliography: 9 titles.

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Authors and Affiliations

  1. St.Petersburg Department of Steklov Institute of Mathematics, St.Petersburg State Electrotechnical University, St.Petersburg, Russia

    N. N. Vasiliev

  2. St.Petersburg State Electrotechnical University, St.Petersburg, Russia

    V. S. Duzhin

Authors
  1. N. N. Vasiliev
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  2. V. S. Duzhin
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Correspondence to N. N. Vasiliev.

Additional information

Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 448, 2016, pp. 69–79.

Translated by the authors.

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Vasiliev, N.N., Duzhin, V.S. Numerical Study of the Asymptotics of Path Probabilities in a Markov Process Close to a Central One on the 3D Young Graph. J Math Sci 224, 214–220 (2017). https://doi.org/10.1007/s10958-017-3406-4

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  • DOI: https://doi.org/10.1007/s10958-017-3406-4

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