q-Analog of tableau containment

Authors:
Jang Soo Kim
Affiliations:
Department of Mathematical Sciences, Korea Advanced Institute of Science and Technology, Daejeon 305-701, Republic of Korea
Venue:
Journal of Combinatorial Theory Series A
Year:
2011

Citing 4
Cited 0

Robinson-Schensted algorithms for Skew tableaux

Journal of Combinatorial Theory Series A
The distributions of the entries of Young tableaux

Journal of Combinatorial Theory Series A
Combinatorics of Permutations

Combinatorics of Permutations
Enumerative Combinatorics: Volume 1

Enumerative Combinatorics: Volume 1

Quantified Score

Hi-index	0.00

Visualization

Abstract

We prove a q-analog of the following result due to McKay, Morse and Wilf: the probability that a random standard Young tableau of size n contains a fixed standard Young tableau of shape @l@?k tends to f^@l/k! in the large n limit, where f^@l is the number of standard Young tableaux of shape @l. We also consider the probability that a random pair (P,Q) of standard Young tableaux of the same shape contains a fixed pair (A,B) of standard Young tableaux.