20 citations · 38 across the 10 of their papers we have counts for
4 papers · 1 filter
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…
The Classification of Circulant Weighing Matrices of Weight 16 and Odd Order
R. M. Adin, L. Epstein, Y. Strassler
In this paper we completely classify the circulant weighing matrices of weight 16 and odd order. It turns out that the order must be an odd multiple of either 21 or 31. Up to equiv…
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…
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…