Geodesic
Numerical experiments in problems of asymptotic representation theory
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XVII, Tome 373 (2009), pp. 77-93

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The article presents the results of experiments in computation of statistical values related to Young diagrams, including the estimates on maximum and average (by Plancherel distribution) dimension of irreducible representation of symmetric group $S_n$. The computed limit shapes of two-dimensional and three-dimensional diagrams distributed by Richardson statistics are presented as well. Bibl. – 14 titles. 
@article{ZNSL_2009_373_a4,
     author = {A. M. Vershik and D. Pavlov},
     title = {Numerical experiments in problems of asymptotic representation theory},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {77--93},
     publisher = {mathdoc},
     volume = {373},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2009_373_a4/}
}
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A. M. Vershik; D. Pavlov. Numerical experiments in problems of asymptotic representation theory. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XVII, Tome 373 (2009), pp. 77-93. http://geodesic.mathdoc.fr/item/ZNSL_2009_373_a4/