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A probabilistic approach for enumeration of certain Young tableaux

Published 4 Feb 2013 in math.CO, math.CA, math.ST, and stat.TH | (1302.0628v1)

Abstract: In this paper we establish an order statistics model of Young tableaux. Multiple integration over nested simplexes is applied to the enumeration of Young tableaux. A brief proof of Frobenius-Young's and Aitken's formulas is given. Partially standard Young tableaux and special truncated shapes including tableaux with a hole are discussed, the associated product formulas are given.

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Authors (1)

  1. Ping Sun 

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