20 citations · 88 across the 33 of their papers we have counts for
5 papers · 1 filter
Minimal factorizations of a cycle: a multivariate generating function
Philippe Biane, Matthieu Josuat-Vergès
It is known that the number of minimal factorizations of the long cycle in the symmetric group into a product of cycles of given lengths has a very simple formula: it is $n^{k-…
A q-analog of Schläfli and Gould identities on Stirling numbers
Matthieu Josuat-Vergès
Stirling numbers of both kinds are linked to each other via two combinatorial identities due to Schläfli and Gould. Using q-analogs of Stirling numbers defined as inversion generat…
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…
Free cumulants, Schröder trees, and operads
Matthieu Josuat-Vergès, Frédéric Menous, Jean-Christophe Novelli +1
The functional equation defining the free cumulants in free probability is lifted successively to the noncommutative Faà di Bruno algebra, and then to the group of a free operad ov…
Stammering tableaux
Matthieu Josuat-Vergès
The PASEP (Partially Asymmetric Simple Exclusion Process) is a probabilistic model of moving particles, which is of great interest in combinatorics, since it appeared that its part…