Email this article Numerical Study of the Asymptotics of Path Probabilities in a Markov Process Close to a Central One on the 3D Young Graph
- Authors: Vasiliev N.N.1, Duzhin V.S.2
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Affiliations:
- St.Petersburg Department of Steklov Institute of Mathematics, St.Petersburg State Electrotechnical University
- St.Petersburg State Electrotechnical University
- Issue: Vol 224, No 2 (2017)
- Pages: 214-220
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/239526
- DOI: https://doi.org/10.1007/s10958-017-3406-4
- ID: 239526
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Abstract
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.
About the authors
N. N. Vasiliev
St.Petersburg Department of Steklov Institute of Mathematics, St.Petersburg State Electrotechnical University
Author for correspondence.
Email: vasiliev@pdmi.ras.ru
Russian Federation, St.Petersburg
V. S. Duzhin
St.Petersburg State Electrotechnical University
Email: vasiliev@pdmi.ras.ru
Russian Federation, St.Petersburg
