Asymptotic behavior of normalized dimensions of standard and strict Young diagrams — growth and oscillations

DOI10.1142/S0218216516420025zbMath1398.05220arXiv2006.10183MaRDI QIDQ2835367

N. N. Vasil'ev, V. S. Duzhin

Publication date: 2 December 2016

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.10183

zbMATH Keywords

symmetric groupYoung diagramYoung tableauprojective representationstrict Young diagram

Mathematics Subject Classification ID

Computational methods in Markov chains (60J22) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Projective representations and multipliers (20C25)

Related Items (3)

Numerical study of the asymptotics of path probabilities in a Markov process close to a central one on the 3D Young graph ⋮ Modeling of an asymptotically central Markov process on 3D Young graph ⋮ Randomized Schützenberger's jeu de taquin and approximate calculation of the cotransition probabilities of a central Markov process on the 3D Young graph

Cites Work

• Polynomial approach to explicit formulae for generalized binomial coefficients
• Numerical experiments in problems of asymptotic representation theory..
• Random walks on strict partitions
• A study of the growth of the maximum and typical normalized dimensions of strict Young diagrams

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