105 citations · 114 across the 9 of their papers we have counts for
Showing 2007Show all
3 papers · 1 filter
math.RA2007★ 3 cited
A semigroup approach to wreath-product extensions of Solomon's descent algebras
Samuel K. Hsiao
There is a well-known combinatorial definition, based on ordered set partitions, of the semigroup of faces of the braid arrangement. We generalize this definition to obtain a semig…
math.CO2007★ 1 cited
Random walks on quasisymmetric functions
Patricia Hersh, Samuel K. Hsiao
Conditions are provided under which an endomorphism on quasisymmetric functions gives rise to a left random walk on the descent algebra which is also a lumping of a left random wal…
math.CO2007
Peak Quasisymmetric Functions and Eulerian Enumeration
Louis J. Billera, Samuel K. Hsiao, Stephanie van Willigenburg
Via duality of Hopf algebras, there is a direct association between peak quasisymmetric functions and enumeration of chains in Eulerian posets. We study this association explicitly…