13 citations · 40 across the 9 of their papers we have counts for
9 papers
Decorated square paths at q=-1
Sylvie Corteel, Alexander Lazar, Anna Vanden Wyngaerd
The valley Delta square conjecture states that the symmetric function can be expressed as the enumerator of a certain class of decorated sq…
Smirnov words and the Delta Conjectures
Alessandro Iraci, Philippe Nadeau, Anna Vanden Wyngaerd
We provide a combinatorial interpretation of the symmetric function in terms of segmented Smirnov words. The motivation for this…
Combinatorics of the Delta conjecture at q=-1
Sylvie Corteel, Matthieu Josuat-Vergès, Anna Vanden Wyngaerd
In the context of the shuffle theorem, many classical integer sequences appear with a natural refinement by two statistics and : for example the Catalan and Schröder numbers…
Rectangular analogues of the square paths conjecture and the univariate Delta conjecture
Alessandro Iraci, Roberto Pagaria, Giovanni Paolini +1
In this paper, we extend the rectangular side of the shuffle conjecture by stating a rectangular analogue of the square paths conjecture. In addition, we describe a set of combinat…
"Pushing" our way from the valley Delta to the generalised valley Delta
Alessandro Iraci, Anna Vanden Wyngaerd
In [Haglund, Remmel, Wilson 2018] the authors state two versions of the so called Delta conjecture, the rise version and the valley version. Of the former, they also give a more ge…
Decorated Dyck paths, polyominoes, and the Delta conjecture
Michele D'Adderio, Alessandro Iraci, Anna Vanden Wyngaerd
We discuss the combinatorics of decorated Dyck paths and decorated parallelogram polyominoes, extending to the decorated case the main results of both [Haglund 2004] and [Aval et a…
The generalized Delta conjecture at t=0
Michele D'Adderio, Alessandro Iraci, Anna Vanden Wyngaerd
We prove the cases q=0 and t=0 of the generalized Delta conjecture of Haglund, Remmel and Wilson involving the symmetric function . Our theorem generalize…
The Schröder case of the generalized Delta conjecture
Michele D'Adderio, Alessandro Iraci, Anna Vanden Wyngaerd
We prove the Schröder case, i.e. the case , of the conjecture of Haglund, Remmel and Wilson (Haglund et al. 2018) for i…
Decorated Dyck paths, the Delta conjecture, and a new q,t-square
Michele D'Adderio, Anna Vanden Wyngaerd
We discuss the combinatorics of the decorated Dyck paths appearing in the Delta conjecture framework of Haglund, Remmel and Wilson (2015) and Zabrocki (2016), by introducing two ne…