47 citations · 161 across the 20 of their papers we have counts for
3 papers · 1 filter
A Baxter class of a different kind, and other bijective results using tableau sequences ending with a row shape
Sophie Burrill, Stephen Melczer, Marni Mishna
Tableau sequences of bounded height have been central to the analysis of k-noncrossing set partitions and matchings. We show here that familes of sequences that end with a row shap…
On 3-dimensional lattice walks confined to the positive octant
Alin Bostan, Mireille Bousquet-Mélou, Manuel Kauers +1
Many recent papers deal with the enumeration of 2-dimensional walks with prescribed steps confined to the positive quadrant. The classification is now complete for walks with steps…
Asymptotic lattice path enumeration using diagonals
Stephen Melczer, Marni Mishna
This work presents new asymptotic formulas for family of walks in Weyl chambers. The models studied here are defined by step sets which exhibit many symmetries and are restricted t…