2 citations · 5 across the 6 of their papers we have counts for
9 papers
Expected lengths and distribution functions for Young diagrams in the hook
Amitai Regev
We consider --Plancherel measures \cite{Ba.Ra.} on subsets of partitions -- and their asymptotics. These subsets are the Young diagrams contained in a --hook, and we c…
A Foata bijection for the alternating group and for q analogues
Dan Bernstein, Amitai Regev
The Foata bijection is extended to the bijections and , where S_m, A_m are the symmetric and the alternatin…
Statistics on Wreath Products and Generalized Binomial-Stirling Numbers
Amitai Regev, Yuval Roichman
Various statistics on wreath products are defined via canonical words, "colored" right to left minima and "colored" descents. It is shown that refined counts with respect to these…
q Statistics on and Pattern Avoidance
Amitai Regev, Yuval Roichman
Natural q analogues of classical statistics on the symmetric groups are introduced; parameters like: the q-length, the q-inversion number, the q-descent number and the q-majo…
Permutation Statistics on the Alternating Group
Amitai Regev, Yuval Roichman
Let denote the alternating and the symmetric groups on . MacMahaon's theorem, about the equi-distribution of the length and the major indices in ,…
On a class of algebras defined by partitions
A. Regev
A class of associative (super) algebras is presented, which naturally generalize both the symmetric algebra and the wedge algebra , where is a vector-space…