750 citations
- Brookhaven National LaboratoryUS10 papers
- Harvard UniversityUS10 papers
- Institute of Radio AstronomyUA8 papers
- Hebrew University of JerusalemIL4 papers
- Steklov Mathematical InstituteRU3 papers
- Tel Aviv UniversityIL3 papers
- University of ChicagoUS3 papers
- University of FloridaUS3 papers
- University of Notre DameUS3 papers
- Boston UniversityUS2 papers
- Compugen (Israel)IL2 papers
- Harvard University PressUS2 papers
5 papers · 1 filter
Equi-distribution over Descent Classes of the Hyperoctahedral Group
R. M. Adin, F. Brenti, Y. Roichman
A classical result of MacMahon shows that the length function and the major index are equi-distributed over the symmetric group. Foata and Schützenberger gave a remarkable refineme…
On Degrees in the Hasse Diagram of the Strong Bruhat Order
Ron M. Adin, Yuval Roichman
For a permutation in the symmetric group let the {\it total degree} be its valency in the Hasse diagram of the strong Bruhat order on , and let the {\it down degree}…
Isospectral Cayley graphs of some finite simple groups
Alexander Lubotzky, Beth Samuels, Uzi Vishne
We apply spectral analysis of quotients of the Bruhat-Tits buildings of type to construct isospectral non-isomorphic Cayley graphs of the finite simple groups $\o…
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…
Equidistribution and Sign-Balance on 321-Avoiding Permutations
Ron M. Adin, Yuval Roichman
Let be the set of 321-avoiding permutations of order . Two properties of are proved: (1) The {\em last descent} and {\em last index minus one} statistics are equidis…