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”, Zap. Nauchn. Sem. POMI, 2016, Volume 448,Pages <nobr>69

This article is cited in 3 papers

Numerical investigation of the asymptotics of the probabilities of paths in a Markov process on the 3D Young graph close to a central one

N. N. Vasiliev^ab, V. S. Duzhin^b

^a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
^b St. Petersburg Electrotechnical University, St. Petersburg, Russia

Abstract: 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.

Key words and phrases: 3D Young diagrams, 3D Young graph, Plancherel process, Markov central process, limit shape.

UDC: 517.987

Received: 10.10.2016