Modelling of Almost Central Measures Generated by Markov Processes in the Three-Dimensional Case

Verfasser / Beitragende:
[N. Vasiliev, A. Terentjev]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 209/6(2015-09-01), 851-859
Format:
Artikel (online)
ID: 605525781
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024 7 0 |a 10.1007/s10958-015-2532-0  |2 doi 
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245 0 0 |a Modelling of Almost Central Measures Generated by Markov Processes in the Three-Dimensional Case  |h [Elektronische Daten]  |c [N. Vasiliev, A. Terentjev] 
520 3 |a We describe some computer experiments with 3D Young diagrams for modelling a Markov process whose properties are close to those of the Plancherel growth process in the two-dimensional case. The transition probabilities of this process are defined by formulas involving the lengths of 3D hooks. They were obtained by generalizing well-known formulas for the probabilities of the Plancherel growth process. Although the measure generated by this 3D Markov process is not central, we show that it is close to a central measure. 
540 |a Springer Science+Business Media New York, 2015 
700 1 |a Vasiliev  |D N.  |u St.Petersburg Department of Steklov Mathematical Institute, St.Petersburg, Russia  |4 aut 
700 1 |a Terentjev  |D A.  |u Peter the Great St.Petersburg Polytechnic University, St.Petersburg, Russia  |4 aut 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 209/6(2015-09-01), 851-859  |x 1072-3374  |q 209:6<851  |1 2015  |2 209  |o 10958 
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950 |B NATIONALLICENCE  |P 700  |E 1-  |a Vasiliev  |D N.  |u St.Petersburg Department of Steklov Mathematical Institute, St.Petersburg, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Terentjev  |D A.  |u Peter the Great St.Petersburg Polytechnic University, St.Petersburg, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 209/6(2015-09-01), 851-859  |x 1072-3374  |q 209:6<851  |1 2015  |2 209  |o 10958