80 citations · 239 across the 59 of their papers we have counts for
6 papers · 1 filter
m-Level rook placements
Kenneth Barrese, Nicholas Loehr, Jeffrey Remmel +1
Goldman, Joichi, and White proved a beautiful theorem showing that the falling factorial generating function for the rook numbers of a Ferrers board factors over the integers. Brig…
On meteors, earthworms and WIMPs
Sara Billey, Krzysztof Burdzy, Soumik Pal +1
We study a model of mass redistribution on a finite graph. We address the questions of convergence to equilibrium and the rate of convergence. We present theorems on the distributi…
Generalized Fibonacci polynomials and Fibonomial coefficients
Tewodros Amdeberhan, Xi Chen, Victor H. Moll +1
The focus of this paper is the study of generalized Fibonacci polynomials and Fibonomial coefficients. The former are polynomials {n} in variables s and t given by {0} = 0, {1} = 1…
The fractal nature of the Fibonomial triangle
Xi Chen, Bruce Sagan
It is well known that Pascal's triangle exhibits fractal behavior when reduced modulo a prime. We show that the triangle of Fibonomial coefficients has a similar nature modulo two.…
Inversion polynomials for 321-avoiding permutations: addendum
Szu-En Cheng, Sergi Elizalde, Anisse Kasraoui +1
This addendum contains results about the inversion number and major index polynomials for permutations avoiding 321 which did not fit well into the original paper. In particular, w…
Descent sets for symplectic groups
Martin Rubey, Bruce Sagan, Bruce W. Westbury
The descent set of an oscillating (or up-down) tableau is introduced. This descent set plays the same role in the representation theory of the symplectic groups as the descent set…