20 citations · 45 across the 14 of their papers we have counts for
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math.CO1999
Shape Avoiding Permutations
Ron M. Adin, Yuval Roichman
Permutations avoiding all patterns of a given shape (in the sense of Robinson-Schensted-Knuth) are considered. We show that the shapes of all such permutations are contained in a s…
math.CO1999
Descent Functions and Random Young Tableaux
Ron M. Adin, Yuval Roichman
The expectation of the descent number of a random Young tableau of a fixed shape is given, and concentration around the mean is shown. This result is generalized to the major index…
math.RT1999
Hecke Algebra Actions on the Coinvariant Algebra
Ron M. Adin, Alexander Postnikov, Yuval Roichman
Two actions of the Hecke algebra of type A on the corresponding polynomial ring are studied. Both are deformations of the natural action of the symmetric group on polynomials, and…