A probabilistic approach for enumeration of certain Young tableaux

2013/02/04 by Sun, Ping
#Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #Statistics Theory (math.ST)

paper · doi:10.48550/arxiv.1302.0628

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.

Related

• Enumeration of standard Young tableaux of certain truncated shapes
• Counting Descents in Standard Young Tableaux
• Enumeration formulas for Young tableaux in a diagonal strip
• The distributions of the entries of Young tableaux
• Enumeration of Standard Young Tableaux