72 citations · 206 across the 30 of their papers we have counts for
4 papers · 1 filter
Multiplicative and semi-multiplicative functions on non-crossing partitions, and relations to cumulants
Adrian Celestino, Kurusch Ebrahimi-Fard, Alexandru Nica +2
We consider the group of unitized multiplicative functions in the incidence algebra of non-crossing partitions, where ``'' denotes the convolution operation. W…
Asymptotics for a Class of Meandric Systems, via the Hasse Diagram of NC(n)
I. P. Goulden, Alexandru Nica, Doron Puder
We consider closed meandric systems, and their equivalent description in terms of the Hasse diagrams of the lattices of non-crossing partitions . In this equivalent descript…
Enumerative Properties of NC^B(p,q)
I. P. Goulden, Alexandru Nica, Ion Oancea
We determine the rank generating function, the zeta polynomial and the Moebius function for the poset NC^B(p,q) of annular non-crossing partitions of type B, where p and q are two…
Posets of annular non-crossing partitions of types B and D
Alexandru Nica, Ion Oancea
We study the set $\sncb (p,q)$ of annular non-crossing permutations of type B, and we introduce a corresponding set $\ncb (p,q)$ of annular non-crossing partitions of type B, where…