38 citations · 41 across the 2 of their papers we have counts for
2 papers
math.CO2016★ 3 cited
Subalgebras of Solomon's descent algebra based on alternating runs
Matthieu Josuat-Vergès, C. Y. Amy Pang
The number of alternating runs is a natural permutation statistic. We show it can be used to define some commutative subalgebras of the symmetric group algebra, and more precisely…
math.CO2014★ 38 cited
Hopf Algebras and Markov Chains
C. Y. Amy Pang
This thesis introduces a way to build Markov chains out of Hopf algebras. The transition matrix of a "Hopf-power Markov chain" is (the transpose of) the matrix of the coproduct-the…