15 citations · 35 across the 24 of their papers we have counts for
3 papers · 1 filter
On the joint distribution of descents and signs of permutations
Jason Fulman, Gene B. Kim, Sangchul Lee +1
We study the joint distribution of descents and sign for elements of the symmetric group and the hyperoctahedral group (Coxeter groups of types and ). For both groups, this…
Broken bricks and the pick-up sticks problem
T. Kyle Petersen, Bridget Eileen Tenner
We generalize the well-known broken stick problem in several ways, including a discrete "brick" analogue and a sequential "pick-up sticks/bricks" version. The limit behavior of the…
Root Cones and the Resonance Arrangement
Samuel C. Gutekunst, Karola Mészáros, T. Kyle Petersen
We study the connection between triangulations of a type root polytope and the resonance arrangement, a hyperplane arrangement that shows up in a surprising number of contexts.…