15 citations · 41 across the 17 of their papers we have counts for
19 papers
Deficit and -symmetry in triangular partitions
Viviane Pons, Loïc Le Mogne
We study the -enumeration of triangular Dyck paths considered by Bergeron and Mazin. To do so, we introduce the notion of triangular and sim-sym tableaux and the deficit sta…
A conjecture on descents, inversions and the weak order
Christophe Hohlweg, Viviane Pons
In this article, we discuss the notion of partition of elements in an arbitrary Coxeter system : a partition of an element is a subset such that…
Combinatorics of the Permutahedra, Associahedra, and Friends
Viviane Pons
I present an overview of the research I have conducted for the past ten years in algebraic, bijective, enumerative, and geometric combinatorics. The two main objects I have studied…
The -weak order and -permutahedra II: The combinatorial complex of pure intervals
Cesar Ceballos, Viviane Pons
This paper introduces the geometric foundations for the study of the -permutahedron and the -associahedron, two objects that encode the underlying geometric structure of the…
The -weak order and -permutahedra I: combinatorics and lattice structure
Cesar Ceballos, Viviane Pons
This is the first contribution of a sequence of papers introducing the notions of -weak order and -permutahedra, certain discrete objects that are indexed by a sequence of no…
A description of the Zeta map on Dyck paths area sequences
Viviane Pons
We give a description of the well known Zeta map on Dyck paths which sends the dinv,area statistics to the area,bounce statistics. Our description uses Dyck paths area sequences an…