V. Pons

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math.CO2026

Deficit and $(q, t)$ -symmetry in triangular partitions

Viviane Pons, LoÃ¯c Le Mogne

We study the $(q, t)$ -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…

math.CO2026

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 $(W, S)$ : a partition of an element $w$ is a subset $P \subseteq W$ such that…

Deficit and (q,t)-symmetry in triangular partitions

A conjecture on descents, inversions and the weak order

Deficit and $(q, t)$ -symmetry in triangular partitions